This doesn’t sound like that strange of behaviour.
Female rabbits are more territorial, especially if not neutered. And, despite us thinking a month is a lot of time, she still sees you as a stranger(in addition to the fact she might not feel all that comfortable around any humans.)
Some rabbits get food aggression- so she might just really want her food off of you.
There’s also a chance that you are actually offending her in someway, or shes trying to communicate with you.
One of mine talks with his teeth- of he wants me to move , he nips me, of he wants my attention, he nips me.
We often assume that a rabbit knows we’re a friend to them long before the rabbit has actually become comfortable with us.
Try and figure out if something is different the days she’s acting up, and try to be patient.
As for the bottle bowl question- bowls are easier to drink from, so she doesn’t have to spend as much time at the bowl as the bottle, so that would explain why u see her near it less.