Currently, we don't support import of status into jomsocial, just profile information and avatar. We're working on an update which should inclue status updates as well.
As for the avatar, there's a few things to chec. First, is the profile informaton properly importing? That helps ensure that the connection to facebook is working. Next, can you check the /tmp directory of Joomla to see if there are any jfc_*** files in there? This is where we store images before importing them. If not, make sure tha directory is writable. If that doesn't help, please let us know what version of JFBConnect, JomSocial, and Jooa you are using.
Thanks!