Re: was $ left on the table?
Hand 1 I think calldown is appropriate after the turn raise (note I love that you bet out here). Too many likely hands are beating you, but the board is draw heavy and your opponent is prone to overplaying hands, so you can't really fold to another raise unless the heart draw comes in and the caller wakes up.
Hand 2 I think you have to c/r the turn, you've got position to charge the callers 2-cold, which is essential in my opinion on a board that offers several draws (including 2 gutshots straight draws for QJ and J10). The gutshot hands have the odds to call if you don't raise, and these hands are within the (low-end) of the average LAP player's range against an early position raise.
I also think you can raise for value, since it is quite possible you're still ahead. I don't think you can give the villian credit for K9 unless he never caps with less than 2 pair. If he pops you again I think you can go into calldown mode unless a dangerous card comes off on the river.
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