J.S.
Slow down and wear more appropriate shoes for the surfaces you are traveling on. Everything you described had a reason for happening that had nothing to do with your brain.
I move too fast and sometimes don't have the right shoes on. I fall a lot. I have things wrong with my mind but they aren't causing my falling. :)
I just want to add after reading the other answers that nothing you listed indicates a neuro disorder not even the steps. When I put laminate in my house I think it was three weeks before we all grew bored of sliding down the hallway in our socks! It is a slick surface.
Several years ago I fell off a ladder and tore my ACL except I didn't know I did because it didn't really hurt. What gave it away was every time I was hauling landscape bricks around back I would get to a point where I turned and just fall over on my left side. Nothing on the surface, not any larger a load than I usually take, just would fall down like one of those string toys. That is an example of when something is wrong. It would be something that should not have made you fall. Everything you listed would make anyone fall, you are fine!