Is it normal to have this dreams?

I dream a lot at nights. Sometimes its something i was doing that day and it feels like rewinding a movie when you need to watch some scene a second time. Sometimes im doing something entirely new, like talking to someone i never met, or walking all alone in a place i have never been. Near the end of my dreams (before i wake up) there is always snow, it materializes out of nowhere, then its suddenly really dark that the only thing i can see its the snow. When i look at my watch, and i dont wear a watch when im awake, it shows 01:00. this happens the first time i look at my watch because when i look at it a second time it shows some strange signs. But the real twist is this; sometimes i wake up normally, there are times that before coming to my senses, i see a dark figure passing really fast in front of me and then it goes away, its a flash of some shadowy thing. i start having an extreme terror. its something so amplified that i dont know how to describe it. i come to my senses totally paralyzed, still terrified, i try to move my arms and legs but nothing happens. I try to talk and no sound comes out. It looks like an eternity to me because i can feel the shadow thing in my room watching me, sometimes it looks like its breathing near my ear. then it all goes away and i am perfectly calm, like nothing happen, like some sort of distant memory. so is it normal? if its not what is this thing that keeps happening to me.