Going all- in with AK?

[KingToad]

I just sit at the $25 NL Party table. I am dealt AKo, so my .50 bb gets tabled for me. I am in LP. BB raises to $2, 2 call, it's to me. I call. Pot is approximatley $9. BB has $60, other $15-$25.

Flop is K [img]/images/graemlins/diamond.gif[/img] 7 [img]/images/graemlins/heart.gif[/img] 3 [img]/images/graemlins/club.gif[/img]

it gets check around, I bet $9

bb calls, everyone else folds, pot now $27

I figured him for Ax, or lower pair? wrong?

turn: J [img]/images/graemlins/spade.gif[/img]

bb checks, I go all-in with my $15 (thoughts?)


river: 8 [img]/images/graemlins/club.gif[/img]


did I play this correctly? Would anyone go all-in on the flop?