Does your admission ticket have a room number? (Mine does). If you're close enough to the university, could you make a trip over and check it out yourself?
Does anybody know how the rolling admission process works with multiple LSATs?
Say you send in an application with your June LSAT score and then you retake again in September. Will they take a second look?
What @Pacifico said, if you start now, you will be glad you did. Then it is just a matter of them waiting for your LSAT to review, thereby increasing your chances of admission since more seats are still available that early on.