NL50 QQ turns SFD on paired board and l lose my line - Linecheck

[Parvex]

PokerStars No-Limit Hold'em, $0.50 BB (6 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

BB ($30.95)
UTG ($63.70)
MP ($29.50)
Hero ($76.30)
Button ($39.45)
SB ($18.45)

Preflop: Hero is CO with Q[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/spade.gif[/img].
<font color="#666666">1 fold</font>, MP calls $0.50, <font color="#CC3333">Hero raises to $2.5</font>, <font color="#666666">2 folds</font>, BB calls $2, MP folds.

Flop: ($5.75) J[img]/images/graemlins/spade.gif[/img], T[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $5.5</font>, BB calls $5.50.

Turn: ($16.75) K[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, Hero checks.

River: ($16.75) 2[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $12</font>, Hero calls $12.

Final Pot: $40.75

Not much of an read on villain besides his 33/10/0.9 stats over about 90 hands.

Is the turn a must bet? Is the river a fold? Or did I plyed it fine? I have no idea what to do with this hand.