First I'd stop trying to limp and set with TT. I'd lead out and bet the first hand.
Checking would be silly becuase you are unwilling to raise if AK leads out and bets.

The second hand. I'd min-raise him. If he just calls, I like my hand. If he folds, I like my hand. If he pushes, I don't like my hand.

I'd then kick myself for not having reads unless I just sat down. And if I just sat down, I kick myself for starting off my session so passively.

-'rilla