Welcome to RO :wave:
Nice to have another ontarion here
This is typical bunny behaviour; it isn't wrong or malicious... she's expressing her needs to you.
"If I shake my cage, Mom will come see me and let me out! Boy, I love mom!"
She doesn't view her own behaviour as annoying.
Your time outs mean nothing to her. She can't reason as to why she is there, and she can't likely remember doing anything that you perceived as wrong.
These are typical discipline strategies:
-biting: you yelp really loud and high pitched. If between bunnies, get a squirt bottle of water.
- unacceptable action: clap hands, say "No!"
- Praise and treats when rabbit performs acceptably.
Apart from biting, all other behaviour alteration success must come from your own changes to the environment, and a change in your perspective on the situation. That can range from furniture/hutch rearrangement, bunny proofing, longer or more regular out time, larger run area.
It sounds as if she has a lot of energy
Can you take a picture of her cage and run area? When does she get to play, and for how long?
As for play aggression, is it between you and her, or between herself and Rice? Are both rabbits de-sexed?
Again, welcome!