My last response is not showing up for some reason.
I recently had a friend try to help me downgrade from Mavericks (for various reasons). I had a Time Machine backup on a WD MyPassport, but I didn't know what I had and he didn't look into it in detail. Seems the WD had encrypted the files and for other reasons concerning, I think, that my original Mac has me as just one of several users and I'd just been backing up me as a user, the OS files were not backed up and trying to restore from that Time Machine essentially blew out the OS (as I understand his explanations). For some reason, probably my mistake, it has also been formated as case sensitive.
He could not downgrade the computer but after much work, he did manage to install Mavericks anew. He backed up his installation on an Armor drive.
Although he said he had saved my "Backup Data" I did not have much of it, including bookmarks, contacts, etc. So I copied those (did not restore them) from the WD Drive. Then I tried using the Armor to do a Time Machine backup. It never got out of the "preparing for backup" stage.
I had a third hard drive, the Toshiba, on hand, so I erased/formatted it as Mac journaled, with one GUID partition, and started up this iteration of a Time Machine Backup. Preparing went OK, but the backing up has been unbelievably slow. As I watch it just now, it takes about 5 seconds to back up one tenth of a megabyte.
So, at this point, I think I'm stuck doing an "initial" backup. The WD Passport has some kind of funny formatting and encryption, and the Armor can't get out of preparing. Although, all things considered, why NOT us the WD to make a backup of it now? The only reason I hesitate is that he said something like the security/encryption is applied to and follows the files after they get back to Mac.
I'm certainly willing to stop the backup and see what's on the Armor and maybe erase it and start over with it with just the Applications folder.