Oops. I think you might have done things in the wrong order.
As soon as you walk through the gate into Ust Natha (disguised as drow, of course), you go to the tavern. You must do this before you go talk to Solaufein the first time. Yes, I know you were told at the gate that you needed to talk to Solaufein, but you should go to the tavern first.
Once you get to the tavern, you need to go do the pit fights or the monster battles. I'm not sure if both are required, but I always do both. Both are inside the tavern.
You walk through the tavern door and head left for the pit fights, where you will face off against various opponents in single combat (not sure, but I think it's 2 physical battles and 2 mage battles). If you walk through the tavern door and head right, you will see another pit where you can fight various monsters.
If you continue return to the fight coordinator every time a fight is finished until there are no more battles, Phaere will spawn just inside the door to the tavern. She will order you to meet her in her chambers within the hour.
The eye tyrant on the platform is something else entirely.
Hope that helps.