AQo flops second pair + backdoor draws

[12ozLongneck]

MP1 was loose-passive. Over about 50 hands, the button was at about 40% VP$IP and 15% PFR.

PokerStars 1/2 Hold'em (10 handed) converter

Preflop: Hero is SB with Q[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">2 folds</font>, UTG+2 calls, MP1 calls, <font color="#666666">2 folds</font>, CO calls, Button calls, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 fold</font>, UTG+2 calls, MP1 calls, CO calls, Button calls.

Flop: (11 SB) K[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
<font color="#CC3333">Hero bets</font>, UTG+2 folds, MP1 calls, CO folds, Button calls.

Turn: (7 BB) 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, MP1 checks, <font color="#CC3333">Button bets</font>, Hero calls, MP1 calls.

River: (10 BB) 9[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, MP1 checks, <font color="#CC3333">Button bets</font>, <font color="#CC3333">Hero raises</font>, MP1 calls, Button calls.

Final Pot: 16 BB

I don't like the turn or the river here at all.

The check-call on the turn seems weak to me in spite of the 3-flush on the board.

I went for the check raise on the river here because the button could usually be counted on to bet if checked to even if he didn't have a hand. Even though it worked, I still think that betting out is way better since there's a pretty good chance that the other two players (even the usually aggressive button) will elect to take a free showdown given the very coordinated nature of the board.

All in all, I don't think I played this very well at all.

Your thoughts?