My rabbits came from rescues so they are mostly mixed/unknown breeds. Mocha seems to have some rex in him but he lacks that super soft, dense fur.
All of my house rabbits litter trained rather easily. Most, however, would still leave the occasional poo pellets about. But the poos are dry and easy enough to sweep up (if the dogs don't get them first!). Mocha and Sapphire were perfect, though, with their potty habits -- not even a stray poo. So, yes, they are good about returning if needed. Their cage door is open from morning til my bedtime.
Many rabbits find soft surfaces like couches and beds to be irresistable potty places. I'm afraid that once they've gone someplace they shouldn't, they still like to return to the same place (especially if they can still smell it). Might be a good idea to keep her off the couch for awhile.
How old is she? Hormonal rabbits can be rather unreliable with litter habits. Fixed rabbits train easiest but that may not be an option if you are breeding (of course).
I start slow with training. I open the cage door with a pen around to limit their space. They can then come & go in that area as the please. As they continue to be good returning to potty, in time I expand the area, gradually making their roaming space bigger. Too much space too soon often will result in potty accidents.
tbh I had kind of forgotten about it 
but now it’s making me want rabbits again 
I really can't complain though because I do prefer warm to cold. The weather was actually one of the reasons we chose to move here. 85F or warmer is my preference 
