H1- ss is tiny so his agg. may be meaningless, but I guess it's ok. Folding the turn is nitty but the villain is also playing nitty, and it seems like you're facing a bet on most rivers here.
H2- I squeeze. I dont think your hand is rly that great IO wise but has nifty card removal for his continuing range vs. a squeeze, so I would argue that's where you'd get the most value.

Something interesting is your analysis for the turn in H1 vs. H2, when you're very nearly committed when you call in H1 and probably so in H2 as well. Makes me want to fold both turns even more tbh.