1. Yes, they do come out at day sometimes
2.Your fluorescent light schedule is fine. most people do 12 hours on, 12 hours off.
3. You will know that she has acclimated well when she is eating regularly and just chills in her hides during the day and explores at night (sounds good so far)
4. There are many ways. I pull mine out the night before and stick them in a freezer. then about an hour before I am going to feed I put them in a bucket of warm water. Finally I heat them to 100 degrees (checked by my temp gun) with a hair drier.
Temperature is the most important thing you don't want to cook them, but they need to be around 100 degrees as that is the body temperature of rats.