I would make a plan on how you are going to overcome your anxiety and depression and spend at least one of your two days you want to take off to work on that plan instead of just reading in your room. You cannot test yourself and your bravery from inside your room. You have to confront the dragon out where the dragon is.

It is fine to tell your father how you feel and what you want to do or not do but belittling your father as he has you, that is not your business. Be kind and respectful to your father, he has his own problems. Perhaps if you cannot learn from him you can teach him with your example?