Aiwin Initiative: 9

"What? More of them?" Varan sighs while still working to bandage himself up and stands by Aiwin.

Varan's initiative: 16 

Tobin's Initiative: 15

Soar's initiative is 4, so:

Round One:
Bazavur
Cultists 2 and 3
Varan and Tobin
Aiwin and Soar
Cultist 1

Bazavur is up. (None of the actions you posted above have happened yet; you can go ahead with them, or do something else, when your turn comes around.)

(No change to what I posted earlier)

Bazavur runs up and attacks the nearest cultist, doing a solid amount of damage.

Cultist 2 touches one of the faintly glowing symbols on the wall by the teleportation circle, and the three cultists vanish.

(Did I happen to notice which symbol was pressed?)

You can make a Perception check, DC 15.

Perception check: 15

It was the flame symbol.

“I know where they went. Should we follow them?” Bazavur calls back to the rest of the group. Torn between not wanting to let them get away and knowing his companions need time to recover. 

Tobin:

Rushing onto the teleportation circle, Tobin says, "If we don't stop them from warning others, we risk having the whole place converge on us."

Bazavur moves onto the platform, “it was the flame symbol. Who knows what we’ll be walking into.” He adds somewhat nervously looking at the state of his companions. 

(He’s ready to either push the symbol when everyone is ready. Or let someone else push the symbol.)

Varan move to join the others by the platform, "Since we ain't gettin' a rest just yet. Who needs a pick-me-up?" His hand glows as he touches the more sore spots on his body, casting cure wounds on himself. He heals himself for 10 hit points.

Soar moves too, and I will assume Aiwin joins you. Bazavur pushes the button. The room disappears, and another replaces it - this one is warmer, more comfortable, as there is a large fire burning in the centre.

There are a total of six armoured cultists here; including the three who just teleported ahead of you - they are still right by the teleporter.

We'll stick with the initiative order, so it's now as follows:

Bazavur
Cultists 2 and 3
Varan and Tobin
Cultists 5 and 6
Aiwin and Soar
Cultist 1 and 4

Bazavur, you've used your free action to push the teleport symbol,  but otherwise this is a new round so you have your full movement, action and bonus action.

Bazavur is up.

(I assume Bazavur could deduct which of the cultist he previously injured and would try to attack the same one. Unless doing so would provoke an opportunity attack.)

Bazavur quickly attacks the cultist, twice with his glaive. “There’s more of them. We need to end this quickly.”

(20 & 14 to hit. Both 11 slashing dmg)

It was Cultist 1 that Bazavur attacked previously, so he is within reach to do so again. He kills the cultist most efficiently with the second strike.

Cultists 2 and 3 both cast spells, Cultist 2 on Soar and Cultist 3 on Bazavur. Bazavur, give me a WIS save. You have +4 from Soar's aura.

(Soar makes her save)

Wis save: 10( with the plus 4)

Bazavur, you feel yourself freeze in place, under the effects of a Hold Person spell.

The two cultists, having managed to immobilise at least one of you, move away. Soar takes an opportunity attack against AC2, hitting for 10 points of damage.

Varan and Tobin are up.

Tobin:

Seeing his friend succumb to the spell, Tobin releases his fireball (per earlier action), centering it so it engulfs AC2, 3, 4, and 6.  He hopes to disrupt the enemy spellcaster’s concentration and free Bazavur from the paralysis.

(Fireball cast at level 4:  30 points fire damage, DC 20 Dexterity save for Half)