Have you tried updating manually?
https://www.amazon.com/gp/help/custo...MQC26VQQMM8XSW
It's just a click and drag to your root directory or /mnt/us, then click on update.
Careful though, if you're on paperwhite 3 or 4 and want to maintain jailbreak, you may need to look at the developer's corner first.