Problems in restore backups to iPhone from PC
On Windows 10, there's two different backup folders you may have, from older iTunes versions.
In the Windows 10 search box, paste in each of these locations separately and see if Backup isn't empty:

%userprofile%\Apple\MobileSync\Backup
%appdata%\Application Data\Apple Computer\MobileSync\Backup

Assuming you find the backup safe and sound in the other spot, the read or write error itself has several possible causes, but the one I'd start with: is the PC very low on disk space?