As before said, get in touch with TSA keeping in mind that their promises (as with most gov agencies) don't count for much to find out just how soon you might expect to have the paperwork in your hands.
I would also get in touch with the flight school ASAP and start thinking of rebooking flight and hotel arrangements.
You may want to reconsider your choice of flight school if this is how they handle their business -- hopefully they don't have any of your money
