This isn't unprovoked attacks. She sounds scared and she doesn't like being handled. If you are reaching to pick her up out of the tub, it is frightening her. She's probably already scared at being inside a slippery bathtub, and possibly also from hearing the vacuum while she is in this scary new tub. Her "aggression" is simply self-defense. She is scared and reacting (like a cornered dog).
It is possible that she needs to be spayed, but even if she is already spayed, I'd suggest a new and gentler, more hands-off approach with her. I'd also suggest stopping the free roam for now as she doesn't appear to be adjusting. (Lots of space is not always a good thing - especially with a timid or insecure rabbit.)
Having had her for a mere 4-5 weeks is really a short time for some rabbits. It can take much longer than that for some rabbits to get adjusted. I'd suggest a do-over.
I'd confine her to her cage (with litter box) for at least several days. Keep the food, hay, and water near the entrance to the crate. (This is to minimize your intrusion into her space.) See if you can distract her whenever you refill her supplies so that she doesn't get the opportunity to 'protect' her territory.
Next, after several days have passed, use on x-pen to create a small space around her crate. Open her crate door so that she can come out of the crate and into the x-pen area at will. Sit inside there with her and do not touch her. Let her approach you. When/if she does, then ignore her. Don't try to pet her or pick her up. She needs time (probably more time than most) to gradually learn that you are safe. She needs to un-learn the fear that she seems to have developed of you.
After many days of her getting comfortable around you, only then should you try to pet her.
She just sounds like an especially timid girl that will take patience and time.
I'd also suggest taking a closer look at
http://language.rabbitspeak.com/