Transmission or something else?

I have the vehicle listed above GT hardtop convertible.

I was pulled over for a DUI and when I went to jail my car was working fine going in forward and reverse! When I got out of jail it was at impound so when I'm getting it from impound it won't go in drive only in reverse. I was told by a witness that the town truck didn't put it in neutral and Drug it onto the flatbed. What would this be besides a transmission needing replacement?