Hello,
There's no way to check if the product key is legit, even with third party app like ShowKey Plus, that can allow you to enter a key to check, it will not tell you if it has been used.
You also cannot use a pro product key on Home edition directly. You must use generic key to get Pro installed first, then use your product key to activate.
Here are the steps:
You can go to Settings > System > Activation > Change product key
Disconnect internet, and disable any third party antivirus, key in the generic key instead: VK7JG-NPHTM-C97JM-9MPGT-3V66T
That should get you to Pro. Once restarted, you can connect back to the internet, then you can use the Pro key that you have.