KK with a very very coordinated board

[DontRaisePlz]

PokerStars 2/4 Hold'em (6 handed) converter

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

Flop: (9.50 SB) 7[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets</font>, UTG calls, <font color="#CC3333">MP raises</font>, Hero calls, UTG calls.

Turn: (7.75 BB) 4[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, UTG checks, MP checks.

River: (7.75 BB) 8[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, <font color="#CC3333">UTG bets</font>, <font color="#CC3333">MP raises</font>, Hero folds, <font color="#CC3333">UTG 3-bets</font>, MP calls.

Final Pot: 13.75 BB

UTG is the epitome of awful. He would call down with perhaps every spades, though he probably has a big one or a 9s since he's river capping. MP is a decent aggressive player who could be raising an ace of spades for a free card.

Did I play this well or was I too scared on the flop and turn?