cOngrats on your new bunny! Jersey is very cute!
Is smelling “odd” in terms of a strong urine smell? A vinegar/water mix is good for wiping down urine spots. Otherwise if you’ve never had bunnies before it could just be the mixed scent of hay, poop, the litter depending on what you use, that’s different from how your home smelled “pre-bunny”.
Haha I’ve learned that bunnies are naturally little trouble makers =P At 5 months she’s also likely to be super hormonal since she is not spayed yet. Costs of spaying can vary from place to place so you can probably look up a couple rabbit-savvy vets around you to get some quotes. But female bunnies should definitely get spayed to prevent future health issues.
Also, even if she was “litter box trained” with the previous owner, she is in a new environment and probably just needs to be re-trained in her new home (if the pooping isn’t solely territorial). You mentioned cleaning her cage and replacing the bedding… do you have a litter box in the cage? If you don’t have a litter box and just bedding all over, that would also be why she’s pooping all over the inside of her cage because the whole cage would seem like a giant litter box. Just put litter/bedding in the litter box (not necessary on the cage floor) and plop some hay on top.
Hope that helps! 