1) Fold preflop. An argument could be made considering you're holding suited connectors with position and you both have enough chips to make it worth your PF call and sweeten up your implied odds
, but it's better just to dump it. Especially if you're going to play it like you did on later streets (ie not take advantage of the great situation)...
You've now hit your hand, but why raise so little? Get good value from your hand - if your opponent is holding an overpair, he's definitely going to pay you off. You also don't want people drawing (say XXs or KQ) cheaply. By minraising, you're giving them great odds to continue. Bump it up to say 8$ or so to sweeten the pot and to make sure he doesn't see a cheap turn.
3) Now the spade has hit and you don't know where you're at. I'll throw out a ~2/3 pot-sized bet here to see if you're still ahead, then act accordingly to his reaction.