Hi while on holiday the touch screen broke down, the page when on or off is disrupted. I was near the end of a book so frustrating .
You can also read it using a phone/tablet/PC just download the Kindle app and download the book using the app (make sure the app is registered to the same account you bought the book on)
Have you tried holding down the on/off button for 30 seconds to let it reset, this cures a lot of things.
If it is actually broken Amazon do not do repairs (unless under guarantee) however they have been known to give a discount if you have to buy a new one and you ask nicely. They can be contacted using the link in my signature.