Max, I'd say if you have a place where you can store it for free or very little money, do that. Otherwise, sell it and when you graduate and have a job and are more settled buy a new Z and do her up right. From what I can remember about your car off the top of my head I'd say it's going to take a lot of time and money to get it to the point where it's reliable. Look around, ask your grandparents, uncles, great aunts etc. if they have space to store it without being a burden; otherwise it's not your first Z and I'm sure it won't be your last.
Just my $.02
Ben