Given your reads, I think this is all fine. I would probably raise the Q7s hand to 3x BB considering the stack sizes, however.

Re the 55 call, I think this is fine. With blinds this large pretty much any pocket pair is a very strong hand and 55 is plenty good enough to call here. You are actually ahead of a few hands that he would shove (think A2-A5, maybe K2-K5, 22-44), 55% favourite against most other hands and only dominated by a few hands.