When you try to restore a backup file but you get the message "Doesn't appear to be one of mine" there are two things it could be.
1) You can't drag-n-drop a full system backup onto the Director. If you are restoring a full backup as opposed to an individual profile, you must hit the restore button and choose the backup file.
2) The filename is important. The Director gives the backup a name. Keep it. If you rename it, you'll get this error.