Is it okay to run Sony VAIO Care along with Norton Security?

I have had a Sony VAIO for a couple of years and just switched from Kaspersky Internet Security to Norton Security.  One of the reasons I switched is that with Kaspersky 2015 I had lots of interaction problems. For example, Kaspersky would never allow me to open secure connections when I was using the Firefox browser.

My computer is also running Sony VAIO Care.  This is useful for some things, like giving me shortcuts to certain system controls.  But I always wondered if it contributed to my Kaspersky problems.  Now that I am using Norton, is it okay to let VAIO Care and Norton Security run at the same time?  If not, do I need to uninstall VAIO Care, or can just turn it off?  And does anyone know how to just turn it off without uninstalling it?