The next set piece is indeed an investigation of the Burned Wing, whenever you're ready for it, so it could very well be this very night!
Remember I'm compelled to run this partially sandboxy because all of you know the school, its people and its locations, so you're always free to talk to anyone and go anywhere. These things you do will add up to your greater knowledge of what's going on.
I will take Eldarin's suggestion to give everyone a chance to talk a bit first, before I start the next scene. Let's say you all agree to sit at the same table for lunch just to compare notes and make plans. Remember to repeat some of your findings, or if you find it easier that we assume everyone tells everyone everything, so that you don't have to keep retyping/reporting your conversations, we can handwave that in the interests of not letting PbP drag too much.
So remember, I posted some hinted threads, you can go and do those first, or do the exploration first. (Not everything needs to happen in the same day, this isn't a time-sensitive dungeon-crawl where you have to conserve spells and preserve hp. But yes, you've done some social conflict, are about to do some exploration, and there will be 'combat'.)