My iPhone has turned off for no reason and did not turn on, so I connected it to my Mac to see if the name of my iPhone would pop up in the iTunes. What did pop up is some strange video of... a black dot moving through clouds. I did not have this on my computer before and I am worried. Is it possible that my iPhone/Mac has a virus?

Unfortunately, we don't deal with Mac computers here.
You need to find some Mav specific forum.