I'm sorry you're having such a tough time. I'm glad you have an appointment with the mental health team. If you are feeling unsafe, I encourage you to use the crisis line or go to the ER as many times as you need to. It might be a good idea to take your grandfather up on his offer. Imagine how much easier school will be when you're back on your feet.
I had severe depression my first semester at college and had to drop out. I eventually was able to go back and get my degree, a graduate degree and a CPA license. Hold on...it will get better.