KJs against a blind allin, players left to act

[subblime]

5/10 NL home game 8-handed.

Stuck MP announces before the hand that he is playing blind. UTG ($8k) limps and says "you better look cause I'm going to call you." Folded to MP who goes allin blind anyway for $2k.

Folded to my SB. I quickly call with KJs. I have everyone covered with over $15k.

BB ($5k) starts thinking. UTG does not realize BB is thinking and mucks AJ suited face-up.

BB finally mucks AK suited face-up.

How badly did I play? What would you do in BB's shoes? Let's assume that I know UTG has a nice hand but did not limp with a monster.