I'd say it's primarily an age thing - the clingyness and the biting.
I think people get cause and effect mixed up when judging parenting sometimes You're a responsive parent and she needs reassurance from you - even more right now but that wil pass quicker the more time you have for her.

At that age DS was the same. He grew out of it, and your little one will too - take care of yourself in the meantime and don't second guess yourself, just keep doing what feels right. Do you get much time out for yourself? I'm guessing you're not getting much personal recharge time...? That would probably help too.