QQ in MP with a preflop reraise from the button

[sasubpar]

I'd like it if you could comment on several things. No reads on any of the players, this is about my 9th hand at the table.

Party Poker 0.5/1 Hold'em (9 handed) converter

Preflop: Hero is MP3 with Q[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/spade.gif[/img].
UTG folds, UTG+1 calls, MP1 folds, MP2 folds, <font color="#CC3333">Hero raises</font>, CO calls, <font color="#CC3333">Button 3-bets</font>, SB folds, BB folds, UTG+1 folds, <font color="#CC3333">Hero caps</font>, CO calls, Button calls.

First, I am nearly positive it is correct to cap preflop, but if it's not, could someone please explain why?

Flop: (14.50 SB) J[img]/images/graemlins/club.gif[/img], 5[img]/images/graemlins/diamond.gif[/img], 7[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">Hero bets</font>, CO calls, <font color="#CC3333">Button raises</font>, Hero calls, CO calls.

On the flop, considering the preflop action, Button could have several hands. I'm thinking AA and AK are strong possibilities, but I don't think JJ is out of the question. The J is a card I don't want to see, but I still think I have the best of it, and I want to increase the pot size. His raise confirms some of my fears, but I have no problem calling it. Should I reraise here? My instincts are to call and then go into check/call mode from here on out UI.

Turn: (10.25 BB) 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, CO checks, <font color="#CC3333">Button bets</font>, Hero calls, CO calls.

I have no idea what CO has, but I'm growing more and more confident that button has AK, AA, or JJ. I still think there's a good chance I'm ahead, however, and don't think this call is a bad idea

River: (13.25 BB) K[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, CO checks, <font color="#CC3333">Button bets</font>, Hero calls, CO folds.

This king really gives me problems. First of all, I'm figuring he's on JJ, AK, or AA. In any of those three cases, this K ensures that I am beaten. I, however, am not confident in my read, and don't put it past a party player to play this way with AJo or JTs. I call, figuring that the pot is large enough at this point (14.25 BB) to justify it.

Edit: I forgot to include the possibility that the villian had KK. I did take that into account, however, in my decisionmaking.