Mjh,
The invite module that we include in JFBConnect allows emails to be scanned and invitations to be sent. Unfortunately, we're revamping our demo page right now, so don't have a demo you can try right now (should be back on there in a few days).
As for configuration of JomSocial profiles, there's an image a few posts above of what a user -can- see during registration, if you want them to be able to select their profile type at that stage. Otherwise, you can set a default that all Facebook user's will use. A picture is below of the configuration, which we've tried to make as simple as possible:
Hope that helps. As always, we have a 30-day money back guarantee. If you purchase, and can't get things working how you want, no worries.
Thanks,
Alex