I Fell Down the Stairs

I work in a restaurant that has a lot of staircases. Only one of them is not carpeted. I went to go down that staircase so I whipped around the corner with a big plate of food in each hand, my foot slipped super quickly right off the first step I took and I fell all the way down the stairs, throwing the food all over myself and everywhere. The first step was basically greased over when I stepped on it so no wonder I slipped. Anyway, I kept limping around working until 1am like I was supposed to and now I'm at home.. Do you think it's too late to ice my back? Its been like 3 hours