El -- Welcome to SR! You've done a great thing by posting here. This is a tremendous community, full of support and advice and understanding.
I see so much of myself in your post. I could have written large passages of it myself. So please don't feel you are alone in this. It's not your fault; and you definitely don't have to fix it by yourself.
It sounds like you have some great support to build on with your parents and the upcoming counselor session. I would strongly encourage you to be honest with yourself and with them. Drinking is causing a problem in your life. Don't worry about the label yet. Just start with that truth.
Keep posting here. I'll be looking for your updates.