I was playing in a 3 table live tournie I have about 4k in chips avg stack is about 1.8k. I get dealt 2's in the bb. I get about 3 callers and the sb limps so I check. Of the 4 players in the hand I have the most chips, blinds are 100/200. Flop come kh 2s 10h. SB checks I check player bets out 400 folded to sb who calls I come in and bump it to 2200 which is about 1000 more than the sb has but about 2/3 of what the original bettor has. I want the pot right there I'm happy and there are too many draws. Original bettor folds the sb calls all of his chips with qh 6h and hits the draw on the turn. Should I have bet the flop instead of check raising? Did I play this wrong?

I don't think you did anything wrong. I personally like to lead out in these situations with draws on the board, but you are going to have to pay off these hands sometimes.