I sense there is more to this than you are letting on. Reading between the lines I would guess that you have dropped the ball and made some mistakes and aren't being very mature about all of this.
So my parents want me to take a summer class but everything has already started. I had to drop the class I was already taking for reasons...
What reasons? Was the course too hard? Was the course not what you expected? Did you fail the first quiz and decide to just punch out rather than end up with a C or D grade that would hurt your GPA?
... ....at least not without a permit and I don't know how to get one of those....
I have to be honest, this sounds like a petulant child that is used to having someone do everything for them.
When I was in college, they had pamphlets and a registration office and counselors and course guides. It was relatively easy to figure out requirements and prerequisites and deadlines for everything. It was easy to figure out which courses filled up quickly, when the "real" deadlines were. And for those of us ahead of the curve, we figured out how to grease the system and ensure we got the "right" professors while avoiding the "wrong" professors
That was what we reasonable students did. We knew the system and knew how to circumvent the system because we were willing to read the pamphlets and course guides and other materials that fill up the registration and administration offices. We knew how to walk into a counselor's or registrar's office and ask questions and figure things out. We knew how to talk to older students who had been down the road we were traveling to figure out the inside scoop on how the place works.
.....I am doing everything I can to get myself in a class but it just doesn't seem to be enough for them...
I know my post is coming off as harsh, and who knows, maybe I am unfairly blasting you. All I have to go by is the scant few lines you posted and your post just comes off as a whiny little child, not an adult.
Children have excuses and the world isn't fair and things are never their fault.
Adults take it upon themselves to do what they need to do and to meet problems head on and solve them.
In regards to your education, my spidey sense tells me you need to be an adult and figure these things out, take responsibility, come up with a plan, and be honest with yourself and your parents.
Good luck...