Can you try:
Start Menu > Administrative Tools > Services
and check if both avast! services are running automatically when Windows starts?
The majority of the times you can repair this using the Control Panel > Add/Remove programs > avast! antivirus > Click 'change/uninstall' > when a window popup choose 'Repair'. You must be connected to Internet to do so.
If this not work, some other software is interfering with your installation (maybe the firewall... or trash remain from other antivirus installed) :'(