MyShoppings,
I just got into your site, and think I know what the issue is, but can't confirm.
I believe you've created a template override for the Login/Registration page, because when I visit that page, it doesn't look like the standard page we ship JFBConnect with.. for example, the field for username is missing. If you did create a template override, can you try removing it, temporarily, to see if that works? There's been new code added in the 3.2.x releases of JFBConnect for the Login/Register page that should be integrated into your template override, which will show the extra fields required for Virtuemart and other things to make the integration go smoothly.
I can't check that I'm right about the above because the account you created for me is only administrator, which prevents me from using extPlorer. If you can escalate me to Super Admin, that would help, but isn't necessary.
Finally, I changed the settings in JFBConnect to require the email, status, and profile permissions to make things simpler to test. Just wanted to let you know about this change. I think you'd probably want these enabled anyways, but possibly not.
Hope this helps get you started, but if you have any other questions, let me know. Thanks!
Alex