You don't need to prove anything, just start training for a day or two, and then you can claim to be sick in ten days. Many of my classmates do this, and they should not make up training in the second year.
Admission should be no problem
The school doesn't seem to let students live out. I haven't heard of it anyway. Besides, there are no buildings around the school. If you have certain financial strength, you can consider renting it.
Of course it's okay to curl your hair. Just don't let the guide find anything.