fyi, all of my posts are just my opinion

hand 1:
Two options obviously; call, raise. both are fine, but if you are going to raise from the SB after a couple limpers, make it more than the normal 4x +1 for each limper. I'd make it more like .40 or so, in trying to get it heads up. good bet on the flop as played though, as well as checks on turn and river.

hand 2:
I may sound like a nit, but I am folding to the turn check raise. I'm sure you can think of some reasons why. If not, they include:
Expect a push on river by villain, so in essence, this is not a call of only .80, but also a call with the intention of calling a substantial bet on the river.
Also, I don't see weaker hands taking this line attempting to value bet in this situation, ergo, this is either a bluff or a stronger hand. I am leaning towards a strong hand because bluffs seldom take the line of check call check min raise.

Because I think the min check raise is either a bluff or a stronger hand, I think that folding and raising are each better options than calling. You'll find that FTR generally agrees that in most aggressive villain situations that it is better to either fold or raise than to call.