Bath mats are famous for attracting cats. In fact, if you google cats urinate bath mats, you will find that even cats that have no problems in the rest of the house will often urinate on bath mats! If you HAVE to have a bathmat, choose one without any rubber or plastic on the bottom of it, because the theory is that the rubber smells like cat urine to cats, but in general, I would avoid them if you can (or always keep the door closed).
Cats also don't like to eat near their litterboxes, so you might consider moving your kitten's food to another room. If you ever do have serious problems with your cat, I highly recommend the Cat Behavior Hotline. http://www.catsinternational.org/ They are completely free, and really great about answering questions that you might have about solving cat behavioral problems.