Going back to your first post, you said Windows stopped responding. When you then reformat and try to reinstall the installer errors that you're trying UEFI install to an MBR disk. But you saw no boot choice for a UEFI DVD that you remember?
I'm thinking its possible the original OS failure was some kind of firmware change or failure from BIOS<>UEFI that would cause Windows to become unbootable. But we can't know now which format because you reformatted to MBR before that first attempt. In
addition there are no detectable settings for UEFI. Do you by chance have a backup image of the old install, or did you ever see in Disk Mgmt if it had a System Reserved vs. an EFI System partition?
Looks like you have the latest BIOS version 43 from 2011.
Did you F9 to choose Setup Defaults, then F10 to Save and Exit? Try install then.
Next set SATA to AHCI, F10 to Save and Exit, and try that.
Next set DVD drive first to boot in BIOS using the navigation keys shown to change the order, then F10 to Save and Exit. Try install again.
If these fail try to obtain a new WIndows 7 ISO image file if possible, or if not
extract the ISO image file
using ImgBurn 2.5.7.0 - FileHippo.com - making sure to avoid any sneakware during install of ImgBurn. Then write the ISO to 4gb+ flash stick using
Rufus with the settings exactly as pictured here:

Then boot the stick using the BIOS Boot Menu Key
to see if it shows up as a UEFI device to boot and/or will install.
If not write the same ISO to stick using Windows 7 USB-DVD Download Tool or
UltraISO Software To Create Bootable USB Flash Driveto try it for Legacy install.
Then the next thing I would try is to burn DVD or create flash stick that will install either version with
Media Creation Tool for WIndows 10 to compare if it will install. This will rule out the Windows 7 ISO or media creation process is the problem and inform us better about UEFI vs Legacy install behavior on that PC.
If no UEFI choice shows up at any time in the Boot menu then I'd abandon that effort altogether and focus on new ISO, new media, disk wiped and converted to MBR again to compare WIndows 7 and 10 legacy installs. You do not need to install 7 first to Upgrade
to 10, you can if desired Clean Install Windows 10 Upgrade