Its possible to get in with your scores! ( i had 20ts, 19aa, 15pat, and even a 14qr). I got a few interviews but I didn't expect to get in. I had already paid for another DAT and was a week away from taking it and reapplying for the next cycle.
Point being, you never know. They may like you during interviews or find your EC's more intriguing over another applicant ... it could really be anything. You wont know unless you try.
I agree with some of the other posts, your scores are average and its getting exceedingly competitive to get into d-school. Perhaps you could apply to your state school and few others? I would not waste a bundle of money though, especially if its an issue.