Effectively there is only one thing to do a clean reinstall. I doubt this is virus activity that set a password on the avast settings.
Before the uninstall, download the latest version of avast
http://www.avast.com/eng/download-avast-home.html and save it to your HDD, somewhere you can find it again. Use that when you reinstall.
Download the avast! Uninstall Utility,
find it here and save it to your HDD.
Now uninstall, reboot, run the uninstall utility, reboot install the latest version, reboot.