Hi,i think you played ok,

but i would bet on flop, as you was the aggressive pre-flop,he would probably think you had Q,and maybe folded,you said he was an agressive player,and you show exactly this,he played too bit of agressive with a pair of 2,its pretty hard to know he would play with that hand after your bet on the turn,but i think he kinda figured you didnt had Q,but had something like A K and being high card,he thinks was winning with pair and had flush draw.