Phobias are an anxiety disorder in which someone's fear of something is extreme and irrational. The phobia of cockroaches is called katsaridaphobia.
there is none but insect is entomophobia Katsaridaphobia
God Bless
A phobia of small spaces is called claustrophobia.
Ntomataphobia
From what I understand there is no specific phobia for people who are afraid of mail. Most just call it Mail Phobia...
The shell of a cockroach is called an exoskeleton. The skeleton is on the outside of its body to protect against predators.
laceaphobia
Triskadekophobia.
Gynophobia :D
A cockroach nymph in Hindi is called "टिड्डी का बच्चा" (Tiddi ka bachcha).
I am not sure of the name but yes, people can have a phobia of anything, for example, my friend is scared of tomato ketchup.
In the Philippines we call it Bigscotsjessieitus