At default the path of the backup file is set to C:\Users\Username\Documents\EasyBCD Backup (03-26-2010).bcd
But I would replace the default path for backup and restore to something like E:\Win7\EasyBCD\backup\EasyBCD Backup (03-26-2010).bcd
Other Theme: There is a bug using Beta 18.104.22.168 at the option "Save EasyBCD window size on exit". The "Edit Boot Menu" is not displayed correctly the next time I start EasyBCD. The right part of the larger window is not displayed.
Yep, it is a problem.... in fact, its not autosizing any of the pages. You can maximize the window so the page updates at the right size, but this well need to be fixed. Thanks for reporting it.
As for the proposed path, I'm not too sure about that. The documents folder seems like a good default place because its where most users would expect to find their files. You could always save the backup elsewhere.
I use only vhd files to boot from. So the documents folder is always in the booted vhd image. If I have a problem with the bootloader it could not restored because the backup is in this vhd image. That's the reason I always store the backup to a other partition and EasyBCD should have a option to save a alternative backup/restore path or save the last used path for both. But not in the registry because it is in the vhd image.