Norton's AV is one of the best (and I use their corporate version) but I am not a fan of their internet security suite or SystemWorks. I find those packages to be overpriced resource hogs that have the potential to do more harm than good.
That said, you should approach Norton's dismissal with the hope you will not have to call security. By that I mean use the standard uninstaller in Add/Remove Programs and see if it goes quietly. If it fails to uninstall correctly the next step is to download/run SymNRT (Symantec's Norton Removal Tool). Regardless of whether or not you use SymNRT restart your computer and delete the Symantec/Norton folders in C:\Program Files and then run CCleaner and RegSeeker to clean up most of the remnants. (Norton is infamous for leaving junk files behind.)
Once Norton has been escorted off the premises you can hire it's replacements.
1.) For my rundown of SystemWorks, including (free) alternatives to each of its functions, click here.
2.) For a firewall I recommend ZoneAlarm. The Professional version adds some nice functionality but the free Basic version is fine.
3.) For antivirus protection Norton AV and NOD32 are are the top of the totem pole. Avast Home and AVG Free are both good free options, though, and while they're aren't quite as 'powerful' they are fine provided you have a good supporting cast.
4.) When it comes to spyware I leave it up to SpySweeper, which I consider to be the best available. However, you don't need to spend money on spyware protection when you have Windows Defender (free from Microsoft) and Ewido (free from AVG). I wouldn't pay for real-time protection in Ewido, though, for it's not as good as some others, including Windows Defender. (I recommend using those two in combo, Windows Defender for real-time and Ewido for weekly scans.)
5.) If you want a second opinion on your virus protection I recommend A-Squared, which has a free version and is designed to be a perfect complement to your primary antivirus software.
In short, there's no need to pay a premium for internet security considering all of the free options available. With that grouping there's no 'easy button' (you must run and update each one individually) but your wallet may thank you later over a large pizza.
Hope this helps,