I have installed & use BitDefender for several years and use it on many computers. On 2 computers recently when I installed it, I had the same problem on both with not being able to register. I have tried all your steps found in https://www.bitdefender.com/consumer/support/answer/17225/ none of them helped. I attempted to create a support ticket 5 times now and each time the ticket fails to be created. I have BitDefender Total Security running on another system at this same location with no issues. This problem has been going on for about 2 weeks since I installed it, I have also tried to key in my password incorrectly to see if it is even reaching the BitDefender servers when I do that it recognizes that the password is wrong but when I put it in correctly, it fails to connect.
I am an advanced user and I have tried many things to get this working. The only thing that these two systems had in common was that they were both running Kaspersky 2019 which I uninstalled and rebooted the systems prior to installing BitDefender. I don't know if that has anything to do with it but it's the only "unknown" issue that I can think of with these 2 systems.