Umm, sorry can't help with the pooping, as a pup Zhoie wasn't a poop on the pad kinda girl, it was always right beside it, but she always tickled on it.
Then at 5 mos she stopped using her pad altogether and wanted to do jobs outise and has ever since. We have a fenced in backyard, she roams and then goes where she wants. I'm not sure if I could get her to use only where I wanted her to. When we are traveling she will pee/poo on the leash, so I think if I wanted her to go in a particular spot, she would have to be on a leash.
As far as the kitty litter, most dogs to love that, so you will have to either block it off to her access or raise the litter box. I don't think she would ever stop going to get it out.
Good luck.