The log file you sent confirm the problem doesn't have anything to do with our installer, and it's a result of wrong/corrupted permission in your file system, because the installer stops when it's trying to add the icons on the Programs group.
It seems you have permission problems to this folder:
C:\ProgramData\Microsoft\
Or any of the folders below it, since the icon is supposed to be created here:
C:\ProgramData\Microsoft\Windows\Start Menu\Programs\
Right click on these folders, select "Properties", then the "Security" tab and verify ownership and file permissions.
