Bug Check 0xC0000221: STATUS_IMAGE_CHECKSUM_MISMATCH - Windows won't go anywhere with a missing kernel
what kind of reset was it? Keep files/settings or full?
If keep files/settings you can try to use this to save stuff off PC: http://www.howtogeek.com/howto/windows-vista/use-ubuntu-live-cd-to-backup-files-from-your-dead-windows-computer/
If it was a full reset, I would just do a clean install. I think either way its easiest fix but copy anything off C drive you want to keep
On another PC, download the
Windows 10 media creation tool and use it to make a win 10 installer on USB
change boot order so USB is first, hdd second
boot from installer
follow this handy guide:
https://www.tenforums.com/tutorials/1950-windows-10-clean-install.html
when you reach the screen asking for licence, click "I don't have a key" and win 10 will continue installing and reactive itself once finished.
On the screen where you choose where to install win 10, if it gives you an error about GPT drives, delete all the partitions on the hdd and press next. If it still gives error, cancel out of the installer and restart PC and start installer again, it will accept next on that screen this time (some PC just need a restart here)