Overplayed the flop ?

[Dankenstein]

I just recently ran into this hand and I feel that I might have overplayed the flop with my 3-bet. What did help was that the turn and the river both slowed down considerably; however, I'm not sure if 3-betting this flop was the wisest choice. Comments ?
PokerStars 0.10/0.20 Hold'em (9 handed)
Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is SB with K[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/spade.gif[/img]. CO posts a blind of $0.10.
UTG calls, <font color="#666666">2 folds</font>, <font color="#CC3333">MP2 raises</font>, <font color="#666666">2 folds</font>, Button calls, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">1 fold</font>, UTG calls, MP2 calls, Button calls.

Flop: (14 SB) A[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img], 2[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">Hero bets</font>, UTG folds, <font color="#CC3333">MP2 raises</font>, Button calls, <font color="#CC3333">Hero 3-bets</font>, <font color="#CC3333">MP2 caps</font>, Button calls, Hero calls.

Turn: (13 BB) 7[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, <font color="#CC3333">MP2 bets</font>, Button calls, Hero calls.

River: (16 BB) J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, MP2 checks, Button checks.

Final Pot: 16 BB