Mareks,
In the SCLogin module, you can enable the showing of the avatar, but that's only for the currently logged in user. JFBConnect doesn't store avatars directly for each user on your site, we rely on 3rd party software for profile management. However, if you just want the user to see their own avatar, which is great to re-assure the user that they are logged in and under what account, the SCLogin module should show that for you.
If you need help configuring that option, just let us know.
Thanks,
Alex