I keep having really strange dreams?

Logic doesn't govern dreams. They are products of your subconsciousness, and having weird ones does not mean that you are crazy or disturbed. I consider myself very healthy mentally (and physically, emotionally, etc--all these aspects of health are very interconnected) yet I also have some weird dreams myself, nothing too different from the type of dreams you've had. Realistic or logical dreams very rarely occur, mind you. Dreams may actually reflect some things in your mind, but it is not easy to connect them to anything in the real world. Maybe you should stop minding your dreams too much.