[flyingmoose]

I like the second push a lot. Min-raises don't usually mean monsters until the blinds become more significant. It still COULD mean a monster, of course -- but I make moves like this constantly and find 88 much more often than AA. The likelihood of someone cold-calling a min-raise with JJ-AA is even smaller. I would guess that you have the best hand (even if it's only marginally the best hand), and you have a good amount of fold equity into a very nice pot.

The second push I like less. The villain's stack is large, so he may give you a spite call with QJs or KQ. You're risking more to win less. Try to take a quick glance through the Hand History to see how the villain got his stack. If he had some uber donk-luck, I call and lead T100 into any flop. If he got his stack through tight/smart play, I push.