avast shouldn't have any impact as it doesn't scan https pages but going from an http page to https page some parameters are carried forward namely the user name and password. Some firewalls have privacy settings (Zone Alarm Pro for one) that seem to conflict with the web shield proxy when it is in the http page, blocking the parameters being passed between unsecure and secure pages.
Unfortunately I have never used Comodo, so hopefully another forum member may be able to help.
In theory both systems with avast should work in the same way as they are able to use the transparent settings (win2k, winNT and winXP). So there would appear to be something else in the mix.
What is your browser are the security settings the same and do you allow cookies, etc. ?