Of my 3 bunnies, Faith was the only one that was still in tact when I got her (thank goodness!). She peed/pooped everywhere. She was about 6 months old. I don't know exactly because she was given to me. Anyway, no matter what I did she went everywhere. I tried everything I could think of. She was with me about a month before I had her spayed. She never had another accident again, pee wise, and I only have to pick up 4-5 poos a day. Those I think she kicks out when launching out of her litterbox.
IMHO I think rabbits aren't really litterbox trainable until either they fully grow up or they are spayed/neutered. I had one adult bunny that came to me at 2.5 years old that was fully litterbox trained before her spay surgery. I think that's an example of being fully grown up. I give credit to any bunny owner that doesn't alter their rabbits and is capable of suffering through all that mess until their rabbit grows out of it. I've never had one that peed outside the litterbox after being altered, thank goodness. Poos are easily sweeped up so not a big deal for me. And there are never many out of the boxes.
The exception to all of this is fleece. All 3 of my rotten buns will pee on nice, soft fleece if given the chance. Never carpet, just fleece. And there's no way in heck I'm letting any bunny on my bed after hearing all the pee stories on here. There's something about soft and fluffy to some rabbits, you just need to figure out which type your bunny is, lol. Good luck to you and hopefully your problems will be over once your bun gets the snip 😊