new user registration with FB connect and after?

Yes, it does. We have 2 modes of registration:
* Facebook User Only - This creates the user's username for them, and they generally have to log back in through Facebook on the site. This is used on this site, and is a good way to get users to register very quickly without filling out forms.
* Full Joomla User - This option redirects the user to a page where they have to create their own username/password, and then they can login through Facebook and/or Joomla when they return. This mode can be seen on our Joomla Facebook demo site or on the Joomla Extension Directory, which uses JFBConnect as well (look in the left sidebar).

There's also another brief description of the single sign-on capabilities below:
www.sourcecoast.com/jfbconnect/features/...ntication-for-joomla

Hope that helps explain. Both methods are very useful, and it simply depends on your site for which method works best for you!

Should you have any other questions, just let us know.

1) No, we don't have direct support for those, though others have made it work in a few ways. We do have support for JomSocial's built-in multi-profile support, but not JSPT.

As for how you can make it work, if you have a menu item that you can redirect the user to after registration to begin the JSPT/JPayPlans process, JFBConnect can easily be configured to send the users to that page after registration. We also support a different redirect for user's that are just logging in (already registered), so it should work pretty easily in your flow.

2) We have a very good Invite module which can be configured in multiple ways. You can see a demo of it below:
www.sourcecoast.com/jfbconnect/demo/jfbcinvite-module

3) We support multi-lingual sites in quite a few ways. We don't directly test with JoomFish, but generate links that should work with JoomFish (many of our users use it) as well as have language files for all of our front-end templates.

Hope that answers your questions,
Alex