Ask what they are going to teach you, and what the purpose of those teachings is. Then ask something difficult. Do not be sweet; see whether they can answer a tough question. You are choosing someone to learn from, and their answer tells you more than their certificate.

Not weird at all. Working on yourself is beautiful, and Mikao Usui said you cannot heal others if you do not heal yourself. Stay with your own committed practice; you do not need to give treatments to anyone. The changes you make in yourself naturally affect the world around you.

In my experience, yes, and I speak as a nearly post-menopausal woman for whom sleep is not always easy. What helps most is the breath: consciously breathing down into the heart and the deep belly, with the hands resting there so the mind follows, breathing deeply but not unnaturally, and letting the body relax until sleep comes.