So I've taken the car to a different shop. The first thing they found was the alternator was only putting out 12 amps instead of 14 so they replaced that. And they said whoever installed the rebuilt motor just rigged it up just enough so it'll fire up. They said all the ground straps are not hooked up so they're going over the whole thing to get it wired up correctly. They'll have to figure out the AC problem once all that is taken care of.