Sorry but what you've written doesn't make sense to me.
You say you had Antivir installed, then said you installed Zone Alarm which is a firewall and turned there AV off. What do you mean you turned there AV off? Zone Alarm is a free Firewall its nothing to do with anti virus unless you've installed zone alarm anti virus as well.
To be honest I'm confused. What exactly do you have installed? Which zone alarm is it, the firewall or the anti virus? You don't have 2 anti virus programs installed do you?