Not sure my play there but why didn't you bet the flop? It seems that you have no read because you played it passive on the flop and turn.

Why did you check the flop and call the turn?

Edit: I disagree that betting the flop gets no information. A weak A may fold, a strong A will likely call. A draw is unlikely with such low cards but he may call. Everything else would likely fold. Since you have position, you can then watch his bet on the turn to decide if he's drawing. By not betting on the flop you let any hand that was worrying about the A come in for a free ride. A bet on the flop is crucial here, especially against a bluffer.