Did I do a lot wrong here?

dealt to TysonTom [Ah Ad]
TysonTom: calls $0.50
PHD1985: raises to $3
TysonTom: calls $2

He's going to put you on high cards here, and probably not Ts unless its TT. So he's trying to put you out of the pot and he got lucky. Reraise him hard preflop. Don't "get cute" with AA, its only a pair