About the Residence:

"Should you use an existing doorway sir then it become an matter of intent and keys. If you use the original keys to the door, it will open to the original location. If you use residence key, it will open to the Residence. Should someone use other means to opening the door, it become intent. If they intent to break into the house, they will. If they wish to break into residence, they will. If they have no such intent, I believe it's become a matter of possibility," The Servant explains before chuckling, "Once the master was a trickster. He place the entrance of the Residence upon a busy marketplace. We had several matters of confused patrons and we became what I believe is called an urban myth," 

Being new to the group Robin has no input on moving of the hq or on the door in particular.

does Robin have any question for Julius however?

Salys thinks for a moment, “What about the internal structure? Would it be possible to redesign the interior in such a way that even if they break into the lobby, they can’t get past there? Either utilizing the Residence’s own nature or outside materials?”

"The interior of the Residence is design by you with time given for rearrangement and construction. I must however restate I must be courteous to any guests, even ones you would call hostile. If they ask me to open a door, I will open the door if it's within my ability," the servant explains.

(If the party had not move the seperate room, the Resdiance would have repaired it but taken much longer)

Salys frowns and turns to the others, “I’m beginning to think this might be more trouble than its worth. Might be better off selling it and purchasing an actual residence of our own. This is hardly secure, and at the moment, that seems more important than convenient.”

"I am sorry to hear that. The Residance's intent was never to be a fortress, merely a portable shelter," The Servant explains. 

(Assuming no question for Julius. The city will be lockdown for a tenday before they determine the killer escappe in some manner. How everyone want to handle their downtime for the people who dont have any opinions on resdiance? Can continue talk about Residance of course on the side)

mental timeline: Talk about Residence is after meeting with Julius so backtracking a bit.

Julius checks the doorway for a moment, "Should anyone be listening even in passing, they would be hearing a constructed conversation about the events of last night and I suggest you maintain this façade. The Legion and Library officially and unofficially hold no stock in the theory but evidence we are concern about it add unwanted credibility for the desperate and desperate are most dangerous," He picks up the stone off the table, "If the killer has truly escaped and managed to get out of the city, the lockdown of the gates will be lifted in ten days as per the norm. Sooner if they can find him. You're free to do what you wan and I wish you a good day," He departs through the door.

Downtime activities?

Resfaen would take a little bit of time in her room praying for guidance to Kelemvor, seeking any guidance on the recent information provided her. Then she would seek out the temple and continue her "religious Training & Research" for 5 days and then seek the help of a smith to continue her training with one of them, preferably one noted for their skills.

[OOC: Totally forgot what religious research I was doing and of course I forgot to write it on my sheet, will do a search to see if I can find it. and will edit this post.]

[OOC: Oh it looks like it might just be 10 days of Religious Service as a Downtime Activity as I do have noted it was 10 days of service. So if I can I will devote 5 days to Smithing and 5 days to Religious Service.]

Salys can help train Resfaen in smithing. He would also spend a little time searching for magic items for sale and the rest researching ways to improve his pistol. Specifically looking for either ways to improve its damage outright or to add acid damage to the shots, immediate and/or continuing damage such as tasha’s caustic brew.

"If you're looking for acid, we can't say we know how for your type of weapon. Issue is Acid eats up metal pretty bad and leaves residue behind in the pipe (barrel) thing. With your weapon, this will cause problems. If you want cold or poison, there are options with Eternal Ice or Plaguesteel. I dont have any on hand and can't get out an order yet due to situation," The weapon smith explains after Salys' inquiry about acid based addon, "I can't promise anything but I heard Silvertooth city has been messing around with those sisterhood constructs. You know those acid shooting constructs? Maybe they've figure it out,"

Handle Resfaen a bit later.

Quote from Shodai_Kishi >>

"If you're looking for acid, we can't say we know how for your type of weapon. Issue is Acid eats up metal pretty bad and leaves residue behind in the pipe (barrel) thing. With your weapon, this will cause problems. If you want cold or poison, there are options with Eternal Ice or Plaguesteel. I dont have any on hand and can't get out an order yet due to situation," The weapon smith explains after Salys' inquiry about acid based addon, "I can't promise anything but I heard Silvertooth city has been messing around with those sisterhood constructs. You know those acid shooting constructs? Maybe they've figure it out,"

Handle Resfaen a bit later.

 I figure any acid damage would be magical in nature rather than mechanical. What about damage increase improvements, mechanical or magical? And any magic items available?

OOC: Mix of mechanical and magical I guess. Taking Resfaen's sunaxe, the blade is magical but requires a 'sunstone' to channel the magic properly. ONyx's quiver uses flameskull teeth and Stellar Iron for his arrow enchantments.  Improving pistol would require changing out parts to allow for enchantment to stick to it.

"Weapon Smith pulls out a list of material and starts pointing out some, "Given the nature of your weapon, I believe these can be used to add some more punch to your weapon with the right amount and magic, we applied same principle to railing of crossbow and longbows. Some of these can be used to make armor of course much more material need for that but I'm more old fashion weapon guy so im not one for firearms as they call it but as I said acid doesn't play well with other materials. AS for magic items, we have a few here and there but Legion been snatching them up as we make or get them. Mostly been getting commission more than selling existing stock,"

Plaguesteel - Add poison
Stellar Iron - Add radiant damage
Infernal Steel or Ignum - Add Fire Damage
Darksteel - Add lightning Damage
Eternal Ice - Add Cold damage

Will post list of magic items when I can.

Does Robin or Rogi have any plans for their downtime?

"We got a few potions from the local alchemist. We got a supply of Potion of Healing at 50gp a piece," The magic shop keep[er mentions as he rolls out a sheet, a few items were crossed out but what remained were: 

Wind Fan - 1,500gp
Potion of Growth - 270gp
Potion of fire giant strength - 3500gp
Potion of cloud giant strength - 7,500gp
Potion of healing[Surpeme Grade) - 1350gp
Slippers of spider climbing - 5000gp
Cube of force - 16,000gp
Crystal ball - 50,000gp
Armor of resistance (half plate) - 6,000gp

Alternating between smith lessons and helping out around the Pelor major temple and the minor Kelemvor temple. on the 4th day of service, Resfaen finds a strange dressed dark haired woman standing outside the Kelemvor temple, her head tilted to the side as to look at it sideway. She's dress in a dark blue dress with white apron with several slighty off white marking embroiled onto it. 

As Resfaen comes closer, her head snaps towards Resfaen before almost gliding right up to Resfaen, a mismatch red and blue set of eyes looked over. She moved faster than Resfaen's eyes could keep up as she seem to circle, climbed and even hanged off her before coming to a stop in front of Resfaen.

"If everybody minded their own business the world would go round a deal faster than it does. But at lass, we must mind other business. Don't you agree?" She grabs Resfaen's hand and holds, "Gathered from the feet where the queen of the desert's underground walked. From the mad house," Her faces smile  large cheshire smile before she turned and skipped away. Resfaen suddenly regains her senses as she felt almost paralyzed as the figure danced around and spoke. Looking down to her hand, she finds a few rocks. 

Resfaen shakes her head to clear it, thinking back on what just happened. She looks around to see if anyone else saw the strange woman, hoping she was not just in her mind. I swear this place is getting to me, I have got to find a way to get back home soon.

She will quickly bring out some supplies and wright down what was said and place the note and the stones in one of her pouches. On the way out she will seek some guidance from one of the clerics to see if they have any information on the weirdly dressed woman and if any of the words make any sense to them.

During the lockdown, Onyx will commission 10 silvered darts, pick up the finished bag of colding and buy the potion of growing. He will also ask the temple/Legion if they could scry on the previous owner of the leather cloth that was used to cover the lantern or the leather pouch. At wich point he will discover the extra coin and share it (200 gold each i seem to remember). 

Most of the time he will spend researching information on Captain Skullface and the area where he used to operate. He will also look for news on the undead army.

He will be upset for some time that someone robed him , without him noticing. So because of that, he will ask Salyn to make a metal clip to keep the lantern on Onyx and to enchant it, so that it gives an alarm when someone beside Onyx touches it. (Magic Tinkering?). 
He will also search out some of the more stealthy guards, to practice his slight of hand and observation skills.

One evening he will try out the bag of tricks and if it can combine with his speak with animal and beast sense spells.

Need history check for research on skullface and how many days to research?

No idea about metal clip working or even if an Alarm on a clip should be a thing.
It would be Tinkering if it was were like a bell or something but enchanting is where I get a bit confused about how.

How many days do you want to training in Sleight of Hand and/or Perception?

Possibly something more along the line of arcane lock?