Win10 hybrid shutdown won't work. Neither will DISM

My initial problem is that since I upgraded to Windows 10 computer won't resume after a hybrid shutdown or hibernation, as I explained in more detail here: Windows 10 won't shut down properly on ASUS N56V.

Following some suggestions given on other threads or forums, I have run sfc /scannow, which detects some issues it cannot solve itself.

Then I tried to run DISM /Online /Cleanup-Image /RestoreHealth with no success (I get error 0x800f081f).

Then I burned a Windows 10 DVD and tried with Dism /Online /Cleanup-Image /RestoreHealth /source:wim:E:\sources\install.wim:1 /limitaccess. But the laptop does not even read the disc.

What else do I have left to try?

I would like to avoid reinstalling Windows as I may lose some ASUS utilities that are actually useful.