Hand 1: With such a tight-passive you could also have QQ, KK, or (unlikely) AA here which you're also ahead of.

What iopq was getting at - you're ahead of nearly the whole range you put the villain on, so why are you worried about getting it in? The only two hands in the range you gave that beat you are JJ and KQ (and you have outs vs KQ). Shove and be happy with it.

Hand 2: You've put in half your stack already and now you're looking at an awkward decision with only 4 outs to improve. If you often end up in spots like this you need to ask where it all went wrong.

Next time you're raising with air to snap off a suspected bluff do it on the flop, not the turn. That way you can avoid getting so pot-stuck.