Answer:
What has many teeth but can't bite?
I come off of a beautiful creature which soars in the sky. I come off of a peckish creature which has a tail as mighty as the sun! I am sometimes dirty and parents beg you not to pick me up.
I am a small paradise surrounded by dryness and heat.
What is the beginning of eternity the end of time and space the beginning of every end and the end of every race?
Long and thin red within with a nail at the end.
What do you purposefully put lots of in and on your body, but run away from when you encounter it outside?