I have a fear of myself, is it normal?

This fear I have doesn't make sense. Let me explain a bit more:

I can't look in the mirror otherwise I see my face. My reflection is that of a Demon. I have episodes always at three am, where I literally go mad and scream at myself and cry, trying to run away from myself. I bang into walls trying, and almost knocked myself out last night trying to run away from my own shadow on the walls. I can't touch my own hands in case it's not really me and someone else's.