KK turn and river decisions

[Sm@rties]

Villain is BB. My PT stats on him are 23/16/3.3/133 hands.
I'm not sure what to do on turn and river. I called the turn believing he would only bet river if he had me beat. Comments on especially the turn and river are very welcome.

Prima Poker skin
No Limit Holdem Ring game
Blinds: $0.50/$1
6 players
Converter

- Hero(UTG): $158.55
- UTG+1: $110.78
- CO: $2.68
- BTN: $50.21
- SB: $107.26
- BB: $216.88


Pre-flop: (6 players) Hero is UTG with K [img]/images/graemlins/heart.gif[/img] K [img]/images/graemlins/club.gif[/img]
Hero raises to $3.5, UTG+1 folds, CO calls all-in $2.68, Button folds, SB calls, BB calls.

Flop: 6 [img]/images/graemlins/club.gif[/img] 3 [img]/images/graemlins/club.gif[/img] 7 [img]/images/graemlins/spade.gif[/img] ($13.18, 3 players + 1 all-in - Main pot: $10.72, Sidepot 1: $2.46)
SB checks, BB checks, Hero bets $9, SB folds, BB calls.

Turn: 2 [img]/images/graemlins/spade.gif[/img] ($31.18, 2 players + 1 all-in - Main pot: $10.72, Sidepot 1: $20.46)
BB bets $26, Hero calls.

River: 9 [img]/images/graemlins/heart.gif[/img] ($83.18, 2 players + 1 all-in - Main pot: $10.72, Sidepot 1: $72.46)
BB bets $63

Hero?