[Nichomacheo]

As far as the pushing ranges goes, I'd say its fairly wide. I can see an opponent in the $20s doing this with 66+, AT+. You dont really have enough information at this point. If I was you though, I'd call with JJ+, AK. An opponent who pushes here likely isnt a good player and you can win a greater percentage of the time if you fold your 99 and play it through.

I think the real question should be the other hands...

Hand 1: Fold. Q2o isnt going to win you much money, but it may lose you a lot. The only thing you will feel safe with is a flop with two pair or trip twos and those wont come often. Playing hands like this is a huge leak in a lot of people's games.

Hand 2: You min-raise OOP? THEN you check on a draw-heavy board? You need to raise more preflop, maybe to 80, then you need to bet 2/3 or 3/4 of the pot on the flop. You want to encourage your opponent to get a lot of chips in the pot. By min-raising your opponent should correctly call with anything. Then you have no idea where you are on the flop. Its a heavy board; I assume you wanted to check-raise, but this is definitely a -EV way to play.

Hand 3: Fine, raise sometimes preflop to t60.