I was unable to download avastclear, it kept giving me network errors. I was able to download another copy of avast for a clean install. What I did was try to install avast a second time. It made me reboot like 3 times, and then when I went to uninstall it, it asked me for the password again - and this time, it worked.
I removed all copies of avast using the control panel in this way, and then reinstalled it from the file I downloaded. I password protected any changes to it again, this time with a longer password.
I have no idea how something like this happened. Who knows if it was a glitch or not, but hopefully just a glitch. Thank you all for your help. For someone in my situation, you have no idea how grateful I am.