PP 20/40 - KK hand

[Dazarath]

From the few hands I have on BB, he's a fish. Plus, cold-calling 2 more in the BB usually screams fish. I believe MP3 is a 2+2er, but I'm not 100% sure. For this hand, I am not worried about BB beating me; I'm more worried about what MP3 has.

First question, should I have 3-bet the flop?

Second question, should I have folded the turn? I was thinking that maybe MP3 knew he had BB beat and could push me off my hand. But I also knew that it'd be expensive to pay to find out.

Party Poker 15/30 Hold'em (10 handed) FTR converter on zerodivide.cx

Preflop: Hero is CO with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/heart.gif[/img].
<font color="#666666">5 folds</font>, <font color="#CC3333">MP3 raises</font>, <font color="#CC3333">Hero 3-bets</font>, <font color="#666666">2 folds</font>, BB calls, MP3 calls.

Flop: (9.66 SB) J[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, MP3 checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">BB raises</font>, MP3 calls, Hero calls.

Turn: (7.83 BB) 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">BB bets</font>, <font color="#CC3333">MP3 raises</font>, Hero folds?