Should be I worried or is this normal for my new puppy? 10 points!?

Having raised a pom myself, I think you are okay. My pom loved to play tug of war and growl when she thought she was winning. As far as the biting, you need to (excuse the pun) nip that in the bud NOW! I have found that saying No sternly while pointing at her worked well. Then I would stop playing with her until she calmed down (a minute or two) and always repeat that every time she bites. Consistency is the key. Good Luck!