Quest #9; you get that when you defeat the elemental in this dungeon, not before, so that's why it doesn't show up just yet.
To get through to Stardust you need
to defeat two enemies - Corrupters. One is on the purple throne in the entrance part of the shrine, which I assume you have done as you've got this far; the second is also on a purple throne, in the top right hand corner of one of the maps, in one of 3 small rooms. That should then open the way up for you.
The wind elemental is in the same general area, so you need to do that to gain access to her as well.
If you did trigger a bug with those 3 chests then I'm not sure what to suggest, other than contacting Indy, because in normal play you need to defeat those 3 to gain access to the area beyond the tent. Do you have an earlier save you can re-load?