Although I agree that it certainly sounds like you have symptoms of OCD, it would take a face to face evaluation to confirm it. Unlike the other anxiety disorders, OCD seems to be largely biologically caused. The good news is that it is usually responsive to medication and some talk therapy to learn alternative ways to cope with anxiety. A diagnosis of OCD is unlikely to jeopardize admission to medical school as it does not usually cloud a person’s judgment. Personally, I think that people in the helping professions who have had to overcome their own difficulties are better able to empathize with their patients.
I encourage you to do some further research on the causes and treatments for OCD. Then share the information with your parents and ask for their support in getting some help. Often parental resistance to counseling comes from fear that they will be blamed for their child’s problems. In this case, they are not responsible. They couldn’t know that some combination of genes gave you the body chemistry that results in what looks like OCD. What they can do now is help you get to a psychiatrist and therapist to do a thorough evaluation so you can get the treatment you need.
I wish you well.