(I suck at poker, my advice is likely wrong)

Hand 1

I think that the line you took is good. I may be tempted to call down, but the only thing that I would put the villan on that you are ahead of is 9x. If this was his hand I don't think that he would have raised the turn, so even this is unlikely. If he is really aggressive I may put him on a flush draw, but that he would have to be pretty aggressive (if this is the case he could have something like ATs or AJs).

Hand 2

I don't put either of them on JJ or QQ based on preflop play. Therefore, you are only behind to QJ or 66. It would be tough for me to put anyone on such a small range, but I would take my foot off the gas in a significant way. I could see them more likely having something like KJ or KQ, or even JT, TT, flush draw, etc.

While I am thinking that I would call down, I think that it could get very expensive as it looks like it could go down to a riasing war on future streets. This is likely a leak in my game.

Margon