Hello,
Windows license is never a subscription. If you have Microsoft 365 subscription, it has nothing to do with Windows license. Msft 365 is for Office apps, like Word, Excel, etc. It doesn't include Windows license.
Do you still have access to the old computer? If so, on that computer, Can you please type cmd in the search on the taskbar and hit enter to launch command prompt, then run the following command:
slmgr /dlv
Then share a screenshot please. Thanks!