Normal?
What the OP is feeling is not normal in any sense of the word. Normal would be being happy you are at a good school and taking advantage of the opportunities higher education affords one. That would be normal. Normal would be adjusting one’s attitude to succeed regardless of what rank your school has. Normal would be not being so fragile. If things like this have one in the fetal position I really feel for you later in life when the challenges can be much harder to deal with.
But, oh my, I don’t want to be harsh so OP please by all means do whatever you think is appropriate and best of luck.