As an avast user like yourself, there are areas of avast I'm not familiar with either.
Some of the files you mentioned are probably protected files, in that they aren't designed to be user initiated, i.e. it is Avast that launches/runs them, so the Avast self-defence module may prevent this and not just requiring Administrator privileges.
Have you tried running an Avast Repair:
Control Panel > Programs & Features > Avast > Change - Repair, reboot after reoair completes.
One executable that you should probably be able to run is the C:\Program Files\AVAST Software\Avast\AvEmUpdate.exe (Avast Emergency Update check).