I know I'm disorganized, but I certainly don't forget about the assignments; I just plain avoid them for long period when they stress me out and I can't gather up the motivation.
In addition to the advice above, take a pause to google this term: approach-avoidance behavior. See if there are any strategies to deal with it. Try to internalize your understanding of it, so you recognize it when it begins...then apply strategies.
My instinct is you could practice applying several strategies, including Chedva's "just for today" while on break now, to see if they work. Try for improvement this week, outside of academics, for example, attack a messy room or catch up on some undone family correspondence. Choose tasks you don't particularly enjoy. If the strategies work for you at home on such tasks, that should give you confidence to go back to next semester and apply them to academics.
Offhand, you don't sound like someone who should drop out of school. Use home (now) and school (next term) to turn this around. These are habits and can be changed. The therapist can occur while at school, and will support your behavioral changes in real time.
You've already started the process by asking here. Naming a problem is the first step to fixing it, so give yourself that much credit. If you were my kid, I sure wouldn't tell you to leave school just based on what you've written here!
I also don't know what to do to MAKE myself wake up in the morning to attend class; I'm not a morning person, but there's no way I can avoid those type of classes.
Concerning mornings, I am also a night-owl. These are hard patterns and I still struggle. The best thing I've found will sound counter-intuitive, but wake up a half-hour EARLIER than you need to and save something you enjoy greatly for that half-hour. It could be: watch TV, dance to muzik, hot bath, knitting, or reading something extremely funny. You'll wake up with first thought: I can do THIS. It will get you moving. Then, you'll get on to your classes. If that alarm rings and your first thought is "classes" you hit the snooze button, several times. Instead, try starting your day with your most pleasurable activity, and save it for that moment. Try this during vacation, too.
Good luck and don't give up!