Hello John,
Since your Windows 10 license was OEM, it is permanently tied to the motherboard it was originally activated on. When your old mobo died, the license died with it because Microsoft considers a motherboard replacement to be a completely new computer. Your cloned drive boots up perfectly because all your files and the OS are still there, but the Microsoft activation servers see the new hardware ID and will reject the old OEM key you pulled from the registry.
Regarding the Windows 7 key on your case, Microsoft officially closed the loophole that allowed old Windows 7 and 8 keys to activate Windows 10 back in late 2023. That sticker will not help you get activated now.
The next step is to purchase a new retail Windows 10 or Windows 11 license to activate your system on this new hardware. You can buy a digital license directly through the activation settings on your PC, which will route you to the Microsoft Store.