Question 2: It's folded to you in the SB with some hand randomly chosen from {AQ+, TT+}. Your stacks are 15bb before the blinds are posted, and you raise to 5x the big blind with the hand that was randomly chosen from the given range. Villain can then fold, or go all-in for 15bb. Then you can call or fold. What range should Hero call with to maximize his value against a Villain who knows his opening raising range (but Villain doesn't know that we know he knows that)?
I'm going to do this one in a few parts to give people who are having trouble with it a chance to work on it with a little bit of new information at a time.

First, let's consider our pot odds. With 15bb stacks before the blinds are posted, we put in 5bb and Villain puts in 15bb, so we are calling 10bb to win 20bb. This means that any hand we call with should have at least 33.333% equity against Villain's range.

Second, let's consider some sample calling ranges based on possible shoving ranges from our Villain:

Code:
Villain Shoves With      Hero +EV Calls With
--------------------------------------------
AA, KK                   AA
AA, KK, QQ               AA, KK, AKs
AA, KK, QQ, AKs          AA, KK, AK
AA, KK, QQ, AK           AA, KK, QQ, JJ, TT, AK
AA, KK, QQ, JJ, AKs      AA, KK, QQ, AK
AA, KK, QQ, JJ, AKs      AA, KK, QQ, JJ, AK
Third, one starting point for investigation after gathering this preliminary information would be to figure out what range Villain can play this way to maximize his own profit. That's where I'll be picking up from sometime tomorrow.