Can't sign into Norton.

So I installed the new version of norton only to find out the new norton couldn't scan my computer so I had to re-install norton from the ground up.

So after the re-install and then a system restart, I went to sign in on my norton product only for it to come up with this screen:

http://i.imgur.com/mDAVvfv.jpg

So is this the new way to sign-in?
Just enter the product key instead logging in with account name and password.

So any person that uses my computer can now click on norton then click "sign-in" and now they have my product key and can use the remaining 2 device slots I have available?

Usually product keys are mean't to be kept in a safe and hidden place but now you're just showing the whole world my product key.