(Hero's and villan's stack is 125bb)

preflop:

UTG limp, i raised 3bb with AhKh on SB, BB fold

flop : Th2cJc ( pot : 8bb )

I c-bet 6.4bb

he re-raised with 12.8bb

I call.

Turn : 5d ( pot : 33bb )

I checked, He bet 15bb.

I called.

River: 2h ( pot : 63bb )

I checked, He All-in 94bb.

Now that I think about it, I should have check - call on the flop. Is it right?

Is my flop bet-size appropriate?