The spay can certainly help settle these behaviours, absolutely. But keep in mind, it doesn’t always happen right away, and some may pop up again from time to time (like digging), although not as persistent.
My older, neutered male rabbit digs at the bed sometimes and this is normally when he is seeking my attention. He settles when I start petting him or even resting my hand on him. However, I don’t do it right away when he digs. I discourage that with a startling noise I make or I herd him off the bed. He always comes back up shortly after and I can see he’s preparing to dig or chew, so I’ll begin to pet him before he starts.
I suggest you block off your couch from her if you can manage it, and also give her a digging box where it is acceptable for her to dig. If blocking the couch is not an option, try identify a way you can stop her then redirect, without having to touch her and risk her getting aggressive. Maybe a loud “UH-UH” as soon as she starts, or clapping quickly & loudly. Or making short raspberry noise with your mouth (this one works for my boy).
Are you able to use a high value treat to lure her to go back into cage? Does she only receive her food while in there?