Norton is not one of my favorite software companies.
I had a client with Norton and web access problems, he removed Norton, problem persisted.
After much research, I found a special uninstaller on Symantec's that removed the crumbs left behind by their uninstaller.
That solved the problem, unsure if it was a registry entry or what.
Having two firewalls active is generally not recommended.
This thread Error message: "Filemaker cannot share files because another user is already sharing...." had a 360 user that solved the problem by removing it.