When your parents uninstalled avast, did they install another AV. The red cross you mention could be a classic sign of another AV on your system.
Try a repair of avast. Add Remove programs, select 'avast! Anti-Virus,' click the Change/Remove button and scroll down to Repair, click next and follow. You need to be on-line to do this.
If that doesn't work try, uninstall, reboot, install, reboot.
It would probably be best to download the latest version of avast and save it to your HDD, somewhere you can find it again. Use that when you reinstall.
What is your OS ?
Are there any warnings or errors displayed ?
Is there anything in the avast log viewer ?
I hope you sent your parents to bed without any tea
