JFBConnect is mainly meant to allow users to log into your site using their Facebook credentials. While the Facebook API does allow many of the things you mention, they aren't currently implemented as our focus is on the login/registration process. There are add-ons that may do what your looking for like the
Facebook Comments module
.
Right now, for avatars, they are only imported on the first 'connection'. We're anticipating that the next release will allow the admin to select if the avatar should be imported on each user's login so it will always be in-sync with their Facebook profile.