Problems at home :( I need help please :(?

It sounds like you need to sit down and have a talk with your mom about what's going on in her head. She's obviously dealing with some issues and she needs your support. I'm not saying you shouldn't go out and hang with friends but also try going out to the movies with your mom and shopping and whatnot...don't moms and daughters do that sort of stuff to bond? That might help her to let out some steam in a healthy way and then she might not have as much a problem with letting you go and stay at your friend's house. You can also suggest yoga for her...