just a quicky, because I'll need to go and get drunk in a few minutes (Christmas party):
You can essentially replace your diags partition and kernel using this method:
http://ixtab.tk/kindle-touch-images/...ssh_README.txt
The offsets and partitions are the same, except that you'll want to use the files for the Paperwhite, not the Touch. They're in the paperwhite/ subdirectory on the server.
If you have any doubts or questions, some of the other technical folks here can surely help you.
Oh, before you start the procedure, "umount /dev/mmcblk0p2".