The area that Rush donkey kicked his way into contains seven ballistas pointed at arrow slits, a winch that raises and lowers the portcullis, and a stone staircase leading up.

Rush leads the way up

Up the stairs?

You get up the stairs, and Andrømeda and Kwisatz recognize this right away as the place they were when they scouted ahead. The rest of you see that this large chamber extends over the outer gauntlet of the main entrance and contains many former defensive measures. Arrow slits to the north allow outside light to enter, filling the northern half of the room with sunlight. Thick webs are strung between the walls and pillars. Lurking among them are several giant spiders. The spiders are spread throughout the southern half of the room and move right away to attack.

Other defenses include two fireplaces, which were probably used to heat cauldrons full of oil that the dwarves poured through narrow slits in the floor. Three empty cauldrons are lined up along one of these slits. 

Everyone rolls initiative:

• Andrømeda (AC14, HP52): 12
• Kwisatz (AC15, HP32): 19 
• Rush (AC18, HP27): 5 
• Sael (AC13, HP40): 17 
• Giant Spiders (1-5) (AC14, HP26) : 12 

Initiative Order:

1. Sael
2. Andrømeda 
3. Rush
4. Giant Spiders 1-5
5. Kwisatz

So, Sael is up first! With Sael's current location, she has limited visibility (read: close to zero visibility on the spiders - I would say that she could be aware of Spider 2 and that's it unless she moves past her teammates).

Sael decides to waste no time and rushes forward, through her friends and to the right side of Spider 2.

With both shortswords, her first attack is at its face.  Attack: 13 Damage: 6 Attack: 15 Damage: 1

Her second attack is aimed more at its midsection.  Attack: 21 Damage: 4 Attack: 12 Damage: 2

Sael lets loose a deadly volley of slashes at the spider, hitting 3 of her 4 attempts, and causing 17 points of slashing damage. The spider is bleeding pretty profusely from its abdomen and whatever constitutes its face.

Andromeda is next.

Updated Map - Round 1, Turn 2 - Andromeda's Turn

Andrømeda roars(rage), vaulting the side of the staircase(if possible, basically just a jump to the east, but if not then just go around) and striking at the 1st of the giant spiders in range(#1) with her greataxe(reckless, gwm)

1st Attack: 20 Damage: 20

2nd 19 Damage: 26

3rd(if kill or crit) 12 Damage: 25

(Move on to the next nearest target if I have the movement left(40ft total))

I'm laying in bed right now, so I won't update the map, but with Andrømeda's first two attacks, she kills Spider 1, disgusting hairy legs flying as Andrømeda's axe chops it to pieces.

Then, with the rest of her movement, she stands in front of Spider 2 and brings her axe down on its head, finishing it off.

Spiders 1 & 2 are dead. Rush is up.

Rush moves on spider 3 and swings his mace. 
Attack: 19 Damage: 3 

Rush hits the spider, causing a tiny bit of blood splatter to drip out of the wound he just inflicted on the spider. 

The spiders are next. 

Spider 3 will attack Rush since he just attacked it:

• Attack: 10 Damage: 9 
• The spider misses completely. It rears up on three of its legs, trying to get a good angle, but it just can't manage it.

Spider 4 will attempt to  web Andromeda then it will move forward along the ceiling using Spider Climb in order to get into position for its next attack:

• 23 vs AC14 (0 damage to roll)
• The webbing shoots wide of the barbarian woman's body and splats against the wall behind her.

Spider 5 will attempt to web Sael then it will also move forward in order to get into position for its next attack: 

•  16 vs AC13 (0 damage to roll)
• Sael is restrained by the webbing. On her turn, Sael can attempt a DC12 STR check to get free.

Kwisatz is next.

Updated Map - Round 1, Turn 7 - Kwisatz's Turn

Kwisatz moves up the stairs to the top and sees Spider 3 as the most imminent threat at the moment since it is the only one actively engaged with one of his friends. You see Kwiz wave his hands and you hear him whisper some magical words that you don't understand, like you've seen and heard before. 

Chill Touch vs AC14: Attack: 19 Damage: 18 

The spider shivers, visibly, as the chill touch of necrotic death courses through its carapace. It begins to bleed out of whatever orifices it has. It is very clearly hurt badly at this point. 

Next is Sael. Remember, she is restrained - DC12 STR check to get free.

Updated Map - Round 2, Turn 1 - Sael's Turn

Sael attacks Spider 4 with her handaxes:

• Attack 1: 18 Damage: 8
• Extra Attack 1: 9 Damage: 8
• Attack 2 (two-handed fighting): 15 Damage: 7 

Sael manages to connect on 2 out of her three attacks, causing 15 points of slashing damage. There is a small pool of blood forming under the spider.

Next is Andrømeda (no map update needed)

Andrømeda moves in towards the next nearest that isn't already engaged(#5) and takes a heavy diagonal swing at it with her greataxe(reckless, gwm)

1st Attack: 14 Damage: 22

2nd 14 Damage: 26

3rd(if kill or crit) 18 Damage: 17

(Move on to the next nearest target if I kill this one)

Andrømeda kills Spider 5 in two strikes, and then like a tornado of fury, she uses the momentum of the second swing to twirl around, hop, and bring her greataxe down on Spider 4 (in front of Sael), dealing the killing blow on that one, as well.

Rush is next.

Updated Map - Round 2, Turn 3 - Rush's Turn

Rush casts toll the dead at the spider 3

DC 15 Wisdom save or 15 

Spider 3 DC15 WIS save: 5 

The spider resists the touch of death. 

Spider 3 goes next.

The spider lunges forward towards Rush to bite: 

• Attack vs AC18: 7 Damage: 7
• The spider's attempt at attacking Rush fails, leaving it exposed for for incoming attacks

The next attack can roll with advantage. And, Kwisatz is up.

Kwisatz will cast Ray of Frost at Spider 3: 

• Attack vs AC14: 10 Damage: 17
• Attack (adv roll): 18 
• The attack hits for 10 cold dmg.

Sael is next. No map update is currently needed.