Yes that looks promising.
I assume the o/s letters are the same - i.e. your new installation calls itself
C - and your old installation also called itself
You need to do this outside, so d/l this file - unzip it with 7-zip , then rt click and run as admin on RunMeAsAmin.cmd. It will make a boot disc for you in a few seconds. Here.zip
Boot it up.
From the menu select Explore and find the leters for your Backup drive and your Windows drive.
Then click Shadows - Shadowpe program will pop up.
Select your backup drive in the dropdown, then click Get Shadows. In a few secs they will pop up. Higher numbers are more recent. Have a look thru and find the one you want to restore from.
Go back to the Explore app:
If you have enough space on your windows drive you can make a folder on the windows drive called windows.old and move
these folders from your windows drive into it:
Windows, Users, Program Data , Program Files, Program Files (x86).
If you don't have enough space , just delete those 5 folders from your windows drive.
Copy the 5 folders listed above from your selected Shadow copy onto your Windows drive.
It isn't very quick - took me 30 mins last time I did it.
You need to check all has copied across - so expand the copied folders , and check against the ones in your Shadow Copy - anything missing - just copy it across.
Exit Shadowpe app.
You're done .