Manually check for Windows Updates and see if there is anything pending.
Reboot a couple times.
Have you checked the computer, maybe underneath the battery to see if there is a COA sticker anywhere?
Most factory installs embed the product key in the BIOS.
Sir, this may help.. I contacted a friend to which we have the exact, same identical laptop (because we bought it the same time, same store, same place).. Checking his system.. it says.. Windows 10 Home Single Language.
Assuming that you have a second system that you can use to acquire the installation media.....
https://www.microsoft.com/en-us/software-download/techbench
Choose Windows 10, the first item in the first drop down (not single language at the bottom)
Remember the instruction above where I should not pick the single language at the bottom? Is this a big deal?