Since you have folders from the old alwil and the new avast software, I would say it is best to do a clean install of the latest version, now avast 9.0.2008.
Does that means that I erase these folders ?

For the logs of crashes some were old December 2012 and other more recent May 2013. Can they be linked to freeze when downloading Windows updates of the Microsoft antivirus ? How to stop Microsoft antivirus ?