JFBConnect doesn't have a custom email for new users, we simply send the standard new user one from Joomla. The registration email that's sent is defined in the Joomla User language file at /language/en_GB/en_GB.com_users.ini
As for customization of the registration fields, there's no way to separate the Full Name into 2 separate fields. Joomla stores them as one 'full' name, and we can't break that behavior. For additional custom fields, you'd likely want to use a 3rd party component that we integrate with that has additional profile fields, like Community Builder, JomSocial, Kunena, Agora, or K2. It is possible to create a custom profile plugin to store user information in a file or your database however you want, but you'd need a PHP developer to help you do that (we have documentation on how).
Hope that helps,
Alex