I have the same problem registering version .2021 with Vista. I opened a ticket with tech support last week, and none of the solutions worked. I uninstalled it today after it expired, rebooted, and downloaded it again. As before, the spinning ball appeared without bringing up the online registration form, so as before I did the offline registration. Got the new key by email, and as before, when inserting it per the offline registration via the Settings/Registration/Offline Registration, I get the "xxxxzzzzzzccccc-etc" is not a valid license key! popup.
Seems like Avast! would have fixed it by now if it is a problem with .2018 keys not working with .2021.
Maybe it is a problem with the free version default download via CNET? I suspect that opening another trouble ticket with tech support will not fix anything.