Sure looks like a set (?)

[Tropex]

Party Poker 1/2 Hold'em (6 max, 6 handed) pokerhand.org hand converter

Preflop: Hero is MP with A[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/club.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 fold</font>, <font color="#CC3333">Button 3-bets</font>, <font color="#666666">1 fold</font>, BB calls, <font color="#CC3333">Hero caps</font>, Button calls, BB calls.

Flop: (12.50 SB) K[img]/images/graemlins/spade.gif[/img], 4[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">Button raises</font>, BB folds, <font color="#CC3333">Hero 3-bets</font>, <font color="#CC3333">Button caps</font>, Hero calls.

Turn: (10.25 BB) 7[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">Hero bets</font>, <font color="#CC3333">Button raises</font>, Hero calls.

River: (14.25 BB) J[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
Hero checks, <font color="#CC3333">Button bets</font>, Hero calls.

Final Pot: 16.25 BB

Can I find a fold here. I figured I'm either against KQ, AK, KK or QQ of which only one I have beat, should I have folded ?

[Nietzsche]

I don't think you can fold. Though most players will play AK less strongly you will be up against this hand enough times to justify a river call IMO.

Looks like either a set or two pair at least.