yes but Id recommend downloading more just too keep on top:
spyware removers:
Ad Aware VX2 add on (To run this tool once Adaware is updated click on Add-ons in the lefthand column. Select VX2 Cleaner V2.0 and click Run Tool. Click "OK"): http://www.lavasoft.de/software/addons/vx2cleaner.shtml
prevention software to stop spyware:
Winpatrol (real time monitoring of registry changes and suspicious behaviour): http://www.winpatrol.com/download.html
ok well open kaspersky and check around in the settings for a firewall, im sure it has one but best to make sure before you start switching off firewalls.