[NSFW] Should I talk to my mom about this?

There are many things that my mom does that really bother me. I will list them. These are all things that I want to discuss with her but don’t know how to approach this conversation.
1. She doesn’t allow me to wear bikinis. Her justification for this is that I was a young and proper Christian girl and it was too revealing. I have recently confessed I am no longer Christian. But she allowed me to when I was a child. It was only when I began developing that she stopped letting me. It makes me very self conscious when going to pool parties or the beach with my friends. I’m not fat either.
2. She doesn’t want me to wear tampons because she thinks they will steal my virginity. I’ve tried to inform her that this is a myth but she won’t hear it. I hate using pads when I’m on my period. It makes me feel very uncomfortable and I’m constantly afraid of leakage.
3. She doesn’t let me sleep over anybody’s house. I just want to spend a night chatting and giggling with my best friends. I feel like I’m missing out on an important part of my childhood and and teenage years. I understand she doesn’t trust other parents but it makes me so upset.
4. I want to go on birth control. I am sexually active and I don’t want to get pregnant. But if she knew I was sexually active, she would be very disappointed. She disapproves of premarital sex. We still use other methods of protections like condoms, monthly planning, and withdrawal. I fear it may not be enough.
5. She doesn’t let me go out on dates with my boyfriend unless an adult, my sister, or a group of friend comes. I don’t understand this. I am fifteen years old. I have been in a relationship with the same guy for 14 months.