There was just another HP user with the locked efi partition. That is an unusual issue which do do not know how it occurs nor a good fix. But Boot-Repair did not report the locked efi issue on your system.
Just as a test can you edit a file name in your efi? As that seems to be the issue Boot-Repair has.
grub-efi fails to install with Input/output error - locked efi
https://bugs.launchpad.net/ubuntu/+s...2/+bug/1090829
If you cannot edit a filename, backup entire efi partition delete efi partition with gparted, create new efi partition in same place with gparted, set boot flag to make efi and restore files.
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