Answer:
I go through a door but never go in and never come out.
I go up when the rain comes down
I can be hairy and itchy all over. I hang on a stick. I can be the scariest thing you have ever seen. I stand in the middle of nowhere.
I hop around and deliver eggs at Easter.
Searing 'cross the pitch-black skies I scream in celebration Yet moments later my outburst through I am naught but imagination.
A first job for many kids, this could be described as "Media Distribution Management.