Hello, I’m Nathan, and I’ll be assisting you today. My livelihood depends on your positive feedback, so your satisfaction is my highest priority.
Sorry to hear you’re having trouble.
You may have to restart the ipad, or even delete and reinstall the kindle app.
In either case, the kindle app needs to be registered to your own amazon account. When that is done, the kindle library is available to you via the app.
If you don't see it, go into the screen for an item type/category (books, magazines, etc) and if you don't see your content in the DEVICE library, instead choose the CLOUD library, and at that point you'll see all your prior purchases. Each time you select one of these, it will download to the ipad local (onboard) storage.
Let me know if you get stuck,