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The subject of intentional breeding or meat rabbits is prohibited. The answers provided on this board are for general guideline purposes only. The information is not intended to diagnose or treat your pet. It is your responsibility to assess the information being given and seek professional advice/second opinion from your veterinarian and/or qualified behaviorist.
Hmm, tough one. Do you completely clean out and spray down the litter box when you change it? I’d suggest either doing spot cleans of the box, or when you do a complete change, keep a scoop full of dirty litter and sprinkle it back over the top of the clean litter when you’re done to keep her scent nice and fresh in it. If you can hang a hay rack next to the box it may help too, bunnies like to poop/pee and eat 
Otherwise I’m not sure what to suggest, she does sound very territorial. I have a bit an an unorthodox suggestion which is to clean up her pee on the carpet, but sprinkle her poops around those areas when you are done. If her marking is territorial, perhaps she’ll be less inclined to pee there after cleaning if she can still smell her poops there. But that’s just a wild guess 
I don’t want to encourage her to poop there.
Do they have a cage in their room at all? My other suggestion is to keep her confined to a smaller area of the room for a while until her habits improve after which you can slowly expand the amount of room she has.