Gene,
Sorry you ran into issues.
First, I couldn't find any history of your site being run in Autotune or any autotune runs from this account at all. There were definitely multiple issues that Autotune was reporting when I ran the Error Check portion on your page.
I was able to login with the credentials you gave. The issue you were having was that you had not enabled any of the required plugins:
JFBConnect - Authentication
JFBConnect - System
JFBConnect - User
Once those were enabled as they should have been, the login buttons showed up in the popup.
Please test and let me know if you have any other issues.
Thanks,
Alex