$11 poorly played KK?

Party Poker No-Limit Hold'em Tourney, Big Blind is t15 (9 handed) FTR converter on zerodivide.cx

SB (t1590)
BB (t395)
UTG (t785)
UTG+1 (t800)
MP1 (t755)
Hero (t1375)
MP3 (t770)
CO (t770)
Button (t760)

Preflop: Hero is MP2 with K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises to t65</font>, <font color="#666666">2 folds</font>, Button calls t65, SB calls t55, BB raised t395 [allin], Hero calls t330, Button calls t330, SB calls t330.

Flop: (t1197.50) 6[img]/images/graemlins/diamond.gif[/img], 2[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, Hero checks, Button bets t365 [allin], SB folds, Hero folds.

Final Pot: t1197.50

OK, I have a feeling this may be 101 level stuff, but is my call of the BBs all in ok or should I always be shoving myself here? My thought was that it's likely two or three of the other players have an Ace, making it more likely I won't see one on the flop - therefor I'd like one of these other guys to throw another 300 chips in.

Anyone call the button's bet after we've both shown weakness in case he's bluffing, getting 3-1? Turns out he had AJs, but I'd have caught a K on the turn. Wish he'd slow played [img]/images/graemlins/tongue.gif[/img]