Yes, you do have the right to see what is in your file. And If needed, I believe you have the right to copies of things in your file. They might not allow you to see it the minute you ask, but they do have to let you see it from time to time.
I did not look at mine for many years, and when I finally got around to it, there were things in there they just didnt have a place for. Like the delivery sup having an accident, the report etc, was in my file. There were many things in my file more than 25 years old. Like taking a trip down history lane.
Please be aware though. That file, while you have the right to look at it, it is company property. If you remove anything, and I mean anything from your file, you can be fired for theft of company property. If there is something there that is not proper, get the sup to remove it.
But as Chan mentioned, you should have copies of most, or the originals, in your file at the house. Keep them. You never know when they might come in handy.