@af3 — what do you mean? I’m having the same issue with the button not appearing on /wp-admin.php, but the only instructions say to use <?php do_action(‘fbc_display_login_button’) ?>.
Bizarrely, the button will occasionally show up when someone logs out, but I can’t get it to appear with any regularity. Using that code in a template works just fine, but not on /wp-admin.php.
How did you fix it with fbconnect.init in the footer?