I don’t know why he pees on the newspaper in his cage, maybe he’s been used to going on newspaper? Maybe take away the newspaper, if that’s what’s triggering the peeing? That he pees on soft stuff is sth many bunnies will do, so many bunnies can’t have soft beds.
Your description of him sounds so very like my Bam that I have to smile =) I don’t know how old Bam was when I got him but he was an adult. He’s a great house bun, doesn’t get into things, doesn’t chew except his branches and twigs, lies around contendedly most of the time, makes little trips now and then and runs through his tunnel a couple of times per evening, but nothing too adventurous. In the beginning when I had him, he didn’t even do that much. Perhaps it comes from having been housed in a cage for much of his life. I’ve had Bam for almost 4 years now and he’s more active now than he was during his first year with me, but he’s still just a perfect house bun. I can bring him to my mother’s house and let him have free roam there and nothing gets destroyed.
I still recommend you to protect all electric cables. A bunny may suddenly, like out of the blue, get some new idea into his head and if this idea has to do with cord-chewing, it is of course extremely dangerous to both bunny and humans.