Regarding the black discharge, I just have one quick question. Do either you or your roomate smoke?
I had a cat whom I adopted from a Craigslist ad. They dropped her off at my house and when I was able to get a good look at her she had black cruz in both nostrils. I had never seen anything like it in 20+ years of owning cats.
She evidently had groomed it off herself by the time I brought her to the vet. After I described it to him he just waved his hand and told me it was nothing to worry about as it was the result of being in a dirty house.
When I told him that I wasn’t necessarily that immaculate a housekeeper myself he said but you don’t smoke. That’s what it was from.
It’s difficult to accurately diagnose over the Internet but that was my experience with black discharge.
The neck itching could be from flea allergy. If so, you have a battle ahead.
I’m not tremendously impressed with your school either for refusing to help. That’s just weird.