Then you start the process from step 3. However you will need to run the Uninstall Utility from Safe mode as what part of avast that is installed is running. Or you would have to disable the self-defence module (Program Settings, Troubleshooting section).
AdAware is a large waste of space, it is no longer in the top rank of anti-spyware, so it is easy to forget about.
If you haven't already got this software (freeware), download, install, update and run it,
preferably in safe mode and report the findings (it should product a log file).
1.
SUPERantispyware On-Demand only in free version.
2. MalwareBytes Anti-Malware, On-Demand only in free version
http://download.bleepingcomputer.com/malwarebytes/mbam-setup.exe, right click on the link and select Save As or Save File (As depending on your browser), save it to a location where you can find it easily later.