I would never recommend Norton 360 anymore. I used to be a Norton fan (buyin their AV, as well as 360 before realising it was a dumbed down version) but then each year they added bloat and junk as they tried to justify forcing people to buy new versions and ceasing to provide definition updates to older users, I moved to avast and have never looked back. I've tried a few free options, as well as Symantec Corporate antivirus (same people who make Norton) which was provided free by my university, but have settled on avast. It's light, it's simple, and it works well. Firewall wise, I still use ZoneAlarm even though it is a tad annoying.
Symantec is a perfect example of a company which used to be the market leaders, but is trying to stay relevant as better and free alternatives pop up.