Hand 1: What hands can you put him on that beat you? If he has a 7, then pay him off. Otherwise, you beat all other hands he could be holding. It looks like he slow played JJ+ here and is thinking you have a T. I push him allin here.

Hand 2: Tough spot. There are a lot of hands he could have which he would bet this way. Could be a slow played set (or JJ) who thinks you could draw out a flush on the river. Could be a baby flush who is trying to protect his lead. Could be an overpair with a flush re-draw. In most cases, you are behind though so unless the guy is a maniac, you have to fold. I only call this if the guy is the table donk.