I updated Norton 360 to Norton 360 Premier Edition and ever since have been having problems with it

Norton 360 Premier was installed in December 2013 and ever since has been removed and reinstalled twice.  It still will not funtion on its own.  Yes I have contacted Norton support and because they could manually run the tasks they feel there is no more they can due.  How can I correct this problem, and eliminate any further problems with malware getting in?

 

Thank you,

Cathy