Alright, now that my car is FINALLY running

, I'm able to diagnose other problems and one that needs to be fixed right off the bat is this one: Just bought a starter last night because my old one basically got the housing broken in half some how. Anyways, sometimes ( not always ) after starting the engine the starter stays engaged and spins with the engine. This starter is brand new, spent almost $200 on the damn thing. I'm thinking its possibly a bad starter solenoid......? The starter has a lifetime warranty so I can take it back to O'reilly any time but I wanted to make sure it was the starter before dropping it again and taking it in for a new one. What do you guys think? My Chilton manual doesn't address this problem. Thanks.