[Shargaas]

You've already identified the most important mistake made in this hand. You had to raise this pre-flop. If the button wants to play Kx off-suit, make him pay.

I likely would have re-raised on the flop to take control of the hand. Calling and check-raising the turn almost never works for me as my opponents love to play aggressive on the flop then check all the way after that (unless they have me badly beat).

In closing, raise pre-flop!