Hand 1 is fine as played. If you were concerned about the 7 (which would only help out someone with 65, which makes no sense unless villian has 65 spades) then toss out a blocking bet of a third the pot or so. If you wanted to push but weren't sure if villian would call, a check/raise is great too.

Hand 2: As played I think it's a fold (or if you're very aggressive you can raise $15 or so). From Villian's perspective your line screams something like AK/AQ. (Big raise as BB, C-bet, check/call a small bet without a high face card).

I think you should have either check raised the turn, or led the turn for $5ish. You have an overpair to the board, if he hit two pair/straight he'd likely reraise there, or fold. As played you gave him credit for a hand he doesn't likely have.

Hand 3: Yes you were too week. The only hand that beats you is QK. Villian could easily have a set, or two pair. (Or pair + OESD). I think you are ahead far, far more than you are behind. Nothing wrong with substantially reraising to $10. You completely misestimate the strength of your hand.

As played? you are putting him on a Q, which is feasible. Nothing wrong with just calling and hoping for a cheap show down.

The only way I'd play flopping the ignorant end of a straight that weekly is if it also had 2-flush and the turn completed the flush.