halohola

Villain can has Ax of hearts in his 3b range, it's quite unlikely he would bluff in this spot, especially he already checked back the turn. Meanwhile, we don't have many combination of flush, the only strong hand we can have to bet the river is A5 of heart, but we wouldn't normally call this hand preflop OOP.

Hand 2: I think call flop and turn is fine. I don't like the call on the river though. Fold or raise is probably better EV. Depends on how SB and BTN stats. BTN overcall twice behind is a bit worried too

Hand 1: Check call or check fold on the river, depends on the sizing. You don't block any heart, so it's more likely Villain has A, or K of heart, and he might use that blocker to raise if you bet the river. I don't think A high will ever pay you off anyway. If they have over pair, i don't think they will value bet river with that run out.

Well, we are never bluffing here. It's just how much value we want to get.
Min raise so you think he got a strong hand, he might call (eg two pairs or aces)
Shove if you think he had not too strong hand (one pair) but might think you are bluffing and hero call.

I would never just call. Either shove or min raise imo

With those stack sizes (both players), against that bad player with that hand, i play another 100 times just like how you played.