That option is up to you, I personally don't like Norton, they have some great tools but their protection is not that great, and as you can see can frequently cause performance issues.
If you would like to rid yourself of Norton, I will recommend how to do it while also increasing your security.
-------------------------------------------------------
First thing first - to remove Norton run this Removal Tool
ftp://ftp.symantec.com/public/english_us_canada/removal_tools/Norton_Removal_Tool.exe
----------------------------------------------------
Install one of these Firewalls, I prefer ZoneAlarm or Comodo - depends on what you want ZA is simple but effective, Comodo is more effective but can become annoying because it is so protective.
Firewalls
Here are some firewalls which are free for personal use and most commonly used:
Comodo
Kerio
Online Armor
Zonealarm
--------------------------------------------------------------
For anti-virus there are basically 3 options - I recommend Avira Antivir, but they are all similar
Anti-Virus
AVG 8.0 Free
Avast 4 Free
Avira Free
-----------------------------------------------------------------
Winpatrol <= Download and install the free version of Winpatrol
-----------------------------------------------------------------
For Anti - Spyware You should keep Spybot
and also choose either SUPERantispyware or Malwarebytes Anti-malware
Malwarebytes' Anti-Malware
SUPERantispyware