Is it normal to have so many fears?

I have many fears of things and they haven't gone away. I was just wondering is it normal to be scared of so many things? I pretty much have reasons behind all my phobias but they get annoying at times. For example, I can only use plastic spoons, when I hear glass or glass things clank together I feel like I am about to cry, I cannot sit behind the passenger seat in a car, I freak out when someone touches my wrist (last week my dad touched my wrist and I started crying in the middle of a busy restaurant), and before I go to bed I have to lock my house doors and check to make sure they are locked two times at the least. I always have to make sure I read/looked at something correctly, which causes things to take long and I feel nervous when I don't check something at least twice. So is it okay to have so many fears? I obviously have the basic fears with things like height and spiders but my other fears are starting to get in the way.