Welcome Wise:
I do not have experience with what you describe but do know that my son also was cutting when he was around the age of 15. I was horrified to be honest. He even did his name on his knuckles and tried to hide them from us. He was seeing a psychiatrist at the time which had a great bedside manner but gave my son benzos for anxiety which lead to full blown addiction and HELL for us. The doctor told us that most of "them" do cut. Not sure what "them" meant but I think it meant those that are having emotional problems.
I agree that keeping her close to you is a good idea and I would do that also. It doesn't sound like she is being mean to you or doing this intentionally. Is her father in the picture? She is young and hopefully she will get past all these behaviors and something will click for her.
Do you have faith? I think that spirituality is so important for our children that are going through a rough time.