What will I have to tell my school counselor?

Tell your counselor you are having a hard time adjusting to the school. You could do it, but there are a lot more problems than just that. If you aren't depressed about this, you must really be fighting it off. Which is good. Depression just makes things worse. Is your Dad a caring father or one that only cares for himself? If he is caring, then you shouldn't worry about him finding out about cutting class. I'm sure he'd understand. Now for the fitting in thing, make yourself more approachable. Show you are likable. A surefire thing is to join a club or sport. Hope everything works out.