Afraid and scared are the same thing, no?
This is really annoying. "he has fear of" and "he has a fear of" should both be acceptable and mean the same thing
Yes they are they same
Why not tomber malade?
Why can't you just say "falling sick"?
Would it be right to use "he fears to become sick"?
No, that is not good English. You need the gerund becoming because what follows the verb must be a noun, not another verb.
Tomber malade is better