By selectively restoring, I mean you could just copy back not all but some of the things backed up. Propably not relevant in your case as you want to have the device to be exactly identical to how the previous device was.

Best way to achieve this IMHO is to copy the content of mmcblk0p2 (root partition), mmcblk0p3 (home partition) and mmcblk0p1 (MyDocs partition) with "tar -cvf" for example.