Hand #1. You've got 10 outs to make the boat or quads. Thats about a 17% chance. Not much in implied odds if the board pairs, though. Perhaps you can get another $10 from him. The pot sits about $50 and its $20 to go for a potential pot of maybe $80. That's a 4 to 1 payoff for a 17% draw. If you have a read on him maybe you can make this call based on a 10-20% chance he is bluffing. Otherwise I fold 'em here.

Hand #2. Does he have 66 or 44? If JJ why no PFR? My guess is he limped with big pr or AJ and now is looking at a flush draw to take him down. If I had a read I would gamble here and call.