I raise here, this is my thinking...

the bb has K rag, and think the 2 on the river gave him 2 pair with the Q kicker which in his opinion is good enough to at least split the pot, even better would be if he has KQ....

I don't think mp has the flush b/c he would have raised your turn bet in order to push out the possible higher flush on the redraw since we know he doesn't have the nut flush b/c you are holding the Ah... and I don't think any fish is folding a K with the 2 on the river here....

if you get 3 bet then it's tough, you're probably behind, but given the size of the pot and depending on who 3 bet, it may warrant a call, but the 2c certainly didn't help the button who hadn't played a hand since you sat down (unless he just made quads that he very poorly misplayed)