Why is the menu not there? That's an indication that there was a problem with installing JFBConnect in general, and something that should be fixed as well. Are other extensions installed that don't show up in the menu? It's difficult to diagnose the problem when there's obviously issues with either JFBConnect, or your installation in general.
I did get to look through the settings a little bit, and I'm not sure where those fields are coming from. Additionally, at first, you mention that the fields aren't listed anywhere and shouldn't be shown:
When users login for the first time then some fields are shown to the user along with some extra fields like 'zip code' etc. which are not listed anywhere.
Then, you mention that the fields aren't properly imported:
The home zipcode, pin code, user type etc after facebook login are not the same as in registration form.
What are you looking to solve? Do you know where those fields come from? If not, what profile are you expecting to see them in?
My best suggestion now would be to check if you created a template override for our registration form in /templates/<YOUR_TEMPLATE>/html/com_jfbconnect/loginregister/default.php. If that file is there, rename it so our unmodified file is used. Otherwise, re-install JFBConnect and see if that possibly fixes the problem.
Let us know about the menu issue and what you're looking to fix, and we'll look into it more.
Thanks,
Alex