Can't reset Apple ID security questions even with valid reset link. Help?

So, I am trying to reset my security questions because I have forgotten the answers. I have followed all procedures to do so, but it will not work.

I clicked the link to reset from within my Apple ID account page, then get the message: "Reset Instructions Sent. An email with instructions has been sent to @emailaddress. Follow the directions in the email to reset your security questions." - OK

I open the email: "Dear ME, You recently made a request to reset your Apple ID security questions and answers. To complete the process, click the link below. Reset Now >" I click the link, it opens a new window with a log in screen. - OK

On the login screen, I enter my account information, email and password, into the fields and click the button to proceed. Instead of logging me in I get the pop-under message originating from the password field as follows: - FAIL

I try again, and again, but it never works. Every time I enter my password and try to proceed, the loading spinner spins for a bit, then I get this message "To reset your security questions, sign in to your account and start over." I never get past this page, and into an area where I am able to actually reset my security questions. I've tried with every browser, Firefox, Chrome, Safari... nothing works. I've tried 3 times now to reset via email. It will not work. What is happening? Is the site broken??

To make matters worse, I do not have an option to call for support according to the Apple support website. The only option I get is to contact my carrier. What the **** is my carrier going to do to fix my Apple ID? It's very frustrating to say the least. Someone please help!