Hi and welcome to YT
Congratulations on your new pup . It is normal for them to be a little upset when getting used to beng left alone. Just make sure you give her lots of love and that she has all she needs when you leave. It will get better. As for the bitting I use the redirect method. if she bites tell her no and give her a toy that she can chew on and tell her good puppy when she does.
Good luck and Welcome again.