How to deal with sleepless nights?

Last school year, I had multiple nights that I couldn't fall asleep. I woke my parents if I was still up at 1am, but sometimes I would just get really scared to do it and there was one time I couldn't wake her until 3. So this year, I won't have ANY caffeine except Friday, Saturday, and OCCASIONALLY ONE drink on Sunday. But how can I make myself go to sleep fast when it's hard to sleep?

Oh, and I go to bed @ 9:30 and get up at 6:30. I plan on asking my parents to let me stay up til 10 and sleep til 7 because when I get sleepless nights, I can sleep another half hour and I think relaxing another half hour before bed will be helpful. I also like waking up to sunrise. So how can I convince them? (If it helps, I'm 15 and will be a high school sophomore.) Thanks!