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ask your self here are you willing to go broke here with one over card on the board?if you answer yes,then you should push here because there is a good chance that villan is just bluffing and he would fold to your push

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This is pretty bad advice. If villain is bluffing, then making him fold would be stupid. If he has an ace he is probably calling a push. The only reason to push would be if you thought villain had a flush draw and wanted to charge him to draw. If villain does not have a flush draw, we are either behind, or villain has 5 outs or less. So, if we don't think villain has a flush draw, the best option is to call because it allows us to get our chips in against hands that have us beat AND hands that we beat. If we push, we only get chips in against hands that have us beat.

To OP: In hand I would raise preflop, bet flop, check/raise flop, bet turn, yada yada yada. I would be trying to put money in the pot with AK. I agree that your stack size makes playing a missed AK out of position difficult, but I think you have too much hand to check here.

In hand 2, I think I would just push after the limper. I know you wanted action with your KK, so if I made this raise it would be with the intention of going broke on the flop no matter what, so given that, your postflop play is fine with me.

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i dont think its bad advice at all.if villan is bluffing with the board being what it is and out stack size we should be happy to take the pot here.
my suggestion was to push as oppose to call and not push as oppose to fold.
calling here i think is the worse play.
villan may not have a A but flush draw so a call is out of question.
what i was trying to tell him is that he really has two options fold or push .giving the size of the blinds and the stack he will have left i dont think a push is a bad play at all.