Overpair, pair on board

[DonP]

I never know how to play these hands. What are my mistakes and why?

Party Poker 2/4 Hold'em (8 handed) converter

Preflop: Hero is BB with Q[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/diamond.gif[/img]. CO posts a blind of $2.
<font color="#666666">4 folds</font>, CO (poster) checks, Button calls, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, CO folds, <font color="#CC3333">Button 3-bets</font>, Hero calls.

Flop: (7.50 SB) 9[img]/images/graemlins/heart.gif[/img], 5[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">Button 3-bets</font>, Hero calls.

Turn: (6.75 BB) J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets</font>, Hero calls.

River: (8.75 BB) 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets</font>, Hero calls.

Final Pot: 10.75 BB

[chief444]

I find it hard to believe with the poster any reasonable player on the button wouldn't open raise with KK or AA.

My point is I think you need to get one more raise in somewhere before calling down.

Personally, I don't like getting tricky and just calling the 3-bet here OOP. I just go ahead and cap with what is very likely the best hand and lead pretty much any flop. And given buttons unusual preflop play I'm taking this to showdown even on a much more scary board.