Give him credit for a set?

[Pat Southern]

I'm new to the shorthanded game and felt like I played this hand correctly, but when I called on the river I felt that i had very little chance of dragging the pot, would you give the villain credit for a set, if so, when?

Party Poker 5/10 Hold'em (6 max, 6 handed) converter

Preflop: Hero is UTG with Q[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#CC3333">Hero raises</font>, MP calls, <font color="#666666">1 fold</font>, Button calls, SB calls, BB calls.

Flop: (10 SB) 2[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">MP 3-bets</font>, Button calls, SB folds, BB calls, Hero calls.

Turn: (11 BB) Q[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
BB checks, Hero checks, <font color="#CC3333">MP bets</font>, Button calls, BB calls, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">MP 3-bets</font>, Button folds, BB calls, Hero calls.

River: (21 BB) 8[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, Hero checks, <font color="#CC3333">MP bets</font>, BB calls, Hero calls.

Final Pot: 24 BB