RE: Does your pet want to join you in the bathroom?
My grandma's cat would do that sometimes, though he never tried to get on my lap. He would want to come in with me and then watched me. As a kid I was not used to that so it was really, really awkward. He also sat and watched me change clothes once and that was really weird to have a pair of eyes on me, even though it was just a cat.
My friends have a dog that doesn't like it when someone is in the bathroom and she will sit outside the door and "guard" it until they are done. She tried to come in with me, but I didn't let her, it's too crowded in that bathroom anyway. She is a sheltie, and my friends think she doesn't like it because we are her herd, and when someone is in the bathroom it's like they are missing.