Yes. Since this is a specific fear, it would be termed a simple phobia (rather than a social phobia).
Chaetophobia, Trichopathophobia, Trichophobia, or Hypertrichophobia.
From what I understand there is no specific phobia for people who are afraid of mail. Most just call it Mail Phobia...
Stache-a-phobia
Scholiophobia
Hibernophobia
Obesophobia or Pocrescophobia.
Yes there is. It's called stupidity.
Yes. If people are scared of pickles, why not be afraid of celery?
There is not a phobia about popcorn, but about germs. Some people are afraid of the germs that may come with sharing a bowl or bucket of popcorn.
No, there is no officially recognized phobia specifically for being afraid of ugly people. It is important to treat all individuals with respect and understanding, regardless of their physical appearance.
People are afraid of math. They think they cannot do it and just freak out when given any math problem. Of course this is an irrational fear (pun intended) and with some help people can overcome this phobia.
You have necrophobia if you are afraid of dead things.