Try this please,
Sign in to the same Amazon account on your computer that you registered the Kindle with and go to manage content and devices, then make sure that the Kindle is shown in the devices. If it is choose sync all content to device.
To ensure Whispersync is enabled, or to disable Whispersync:
Under Device Synchronization (Whispersync Settings), setWhispersync Device Synchronizationto ON or OFF.
Whispersync for Games on Fire tablets saves your data in the Cloud. For games that have Whispersync for Games enabled, your saved progress, achievements, leaderboard scores, and all of the content you've unlocked within the game are stored in the Cloud whenever you go online.
Digital content purchased from Amazon is saved to your content library in the Cloud. In order to download content, make sure your Kindle Fire is connected wirelessly. To learn more, go to Connect Wirelessly.
To download content from the Cloud:
Let me know if this does not work and we can try another solution.
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did that work for you?
The Minecraft worlds are located in "...games\com.mojang\minecraftWorlds" on the Kindle Fire. Check the entire Kindle directory folders "...games\com.mojang\".