Hello!
Well hackers most certanly really don't care about your PC. Maybe those stupid script kiddies,but no one else
If you want to know if the avast! On-Access is running in background,than click on that blue ball with letter "a" next to the clock with left mouse button and check if all providers are running.
ashQuick.exe is not required for On-Access to work,since this program is almost like command-line scanner and not a real-time engine.
If you don't see any ball next to the clock,try to check the disk for viruses with some on-line scanner from my webpage (
www.security-ops.tk).. Also make sure you uninstalled any previously installed antivirus software.