[FireStorm]

Hand 2 is standard. Button has Kx or a hand like AcTx almost always here. Folding now prevents a difficult decision on the turn, which you will surely be facing. Next to no good card foir your hand can come off, so save yourself the trouble and muck now.

Hand 1, you are probably better off c/c'ing the river. However, your line isn't a bad one (although there is merit to the line of thinking that he is folding Kx almost never). As played, folding is good.