You’ve had him less than a week so it’s not surprising. It often takes bunnies a lot of time to warm up to people, often weeks or months.
Generally, rabbits don’t like to be picked up. It scares them because in the wild, if they were picked up it would be by a predator and means they’re about to be eaten. So when you grab him, he instinctively feels very fearful and runs away. He won’t grow to like or trust you if you keep trying to grab him, he’ll learn to run away and be scared of you.
If he doesn’t like being pet, then don’t do it, just sit on the floor with him, and gradually try out petting him in different places. When I say gradually, I mean over a week at least, not a day. Sit on the floor and give him the occasional treat, and just let him hop around you and get used to you.
The woman who you got him from is completely wrong. Rabbits need time outside their cage to run around everyday. It won’t teach him anything to keep him confined.
Rabbits bite out of fear, not aggression.
I suggest reading the BUNNY INFO section of the site for more information on behaviour, diet and bonding with your bunny since he’s brand new 