Please help me with my hardwood floors?

I rent an older apartment with hardwood floors. They were not in great shape to begin with. But now after housebreaking a puppy and a sloppy boyfriend the floors area mess. I have cloudy spots where the dog has peed and wet shoes were left. Plus there are some spots where the coat of whatever has been worn off. How should I go about fixing this prob? How do I determine if the floor is waxed, varnish, or what? Plus how can I restore this? I need to know for the sake of my deposit. I plan on living in the apartment for quiet some time. I love it. Please don't tell me to hire a professional I need info I can do. Thanks everything is appreciated.