Some buns will always drop poops around their area. Fortunately they are very easy to clean up. You might try to reduce the amount of playspace until teh litter habits are better established. Also, is she spayed? If she’s not spayed yet, some of the marking will likely decrease afterward.

I think this varies between rabbits.  I had a pair of bonded sister rabbits, both spayed and litter trained, but their habits were very different.  One made a large number of territorial poops and the other makes much less, and only puts them in certain areas, instead of the entire play space.  I found it useful to buy a small dustpan and brush combination to quickly clean up the area. (the brush locks onto the handle of the dust pans).  For hard-to-reach areas, hose vacuums are great.  Although, I got carried away with the vacuum when I first got them, and went through too many vacuum bags.  I hope this is helpful.

In my opinion, territorial marking is one of the hardest things to stop. Since you have several different animals around, they are probably triggering your rabbit to mark his or her territory. How long have you had your bunny for? Maybe as your bunny gets more used to the other animal scents, the territorial marking will decrease. I would agree with Beka that you will probably want to limit your bunnies play area when he or she is unsupervised, and gradually increase the area that he or she is allowed in until the territorial marking starts to decrease.