I've been watching this forum since all the issues started a few weeks ago and am also experiencing the multiple icons in the system tray like the users in this thread:
http://community.norton.com/t5/Norton-Family/Multiple-icons-in-system-tray/td-p/849682/page/2
Each time this happens, I uninstall the family client for a week or so and watch the progress on the issue. When I see an update from the Norton team, I reinstall the client using the link in the portal. The latest time I have installed the link was this past Thursday, 12/13. I told my son to keep an eye on the system tray and watch for multiple "doggie paws" through the weekend, and sure enough, they started appearing again. There also seems to be internet connectivity issues associated as my wife (who's account is not monitored) has issues connecting to sites sometimes. I also see the multiple icons on my profile as well, which is also not monitored. All issues go away when I uninstall the client.
OS is Windows Vista Home Premium with SP2 and all the latest patches. Also running the latest version of Norton 360 (20.2.0.19).
Any advice would be greatly appreciated.