K9s did I play it correctlyin BB?

[maverickai]

I posted this hand, cos according to my stats in PT, K9 - KT offsuit and suited are one of my biggest leaks. I have 336 hands on them and I'm bleeding thru them!!

That's why I'm trying to see how I should have played these hands.

Anyway, for the above hand, The villian held KT, made a 2 pair and decided to raise on the turn.

Here's another hand...

Full Tilt 0.25/0.5 Hold'em (9 handed) Full Tilt Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

Preflop: Hero is CO with K[img]/images/graemlins/heart.gif[/img], 9[img]/images/graemlins/heart.gif[/img].
UTG calls, <font color="#666666">3 folds</font>, MP3 calls, Hero calls, <font color="#666666">2 folds</font>, BB checks.

Flop: (4.40 SB) 9[img]/images/graemlins/spade.gif[/img], 2[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, UTG checks, <font color="#CC3333">MP3 bets</font>, <font color="#CC3333">Hero raises</font>, BB folds, UTG folds, MP3 calls.

Turn: (4.20 BB) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
MP3 checks, <font color="#CC3333">Hero bets</font>, MP3 calls.

River: (6.20 BB) 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
MP3 checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">MP3 raises</font>, Hero ???

Should I have checked the river? Villian would have almost bet if I checked. Is my play throughout the hand correct?