Answer:
I run around the city but I never move.
In Paris but not in France the thinnest of its siblings.
I widen my jaws when you poke two fingers in me. I especially like to devour papers
I am in the past, never in the future. I don't exist, but have existed. I saw what you saw, and this is what I will ever see. What am I?
I can only be played on a windy day. What am I?
No matter how little or how much you use me, you change me every month.