Here's the Delfix Log. There was an error message that popped up in the middle of running it (basically the same as the one when I initially used the FRST tool last week), but the logs don't seem to show any errors. (It did delete a screencap I'd taken of the error from last week though - I guess it targets anything with the name FRST in it.)
Usually there is a registry backup made when FRST and Delfix run. But, some systems don't like the program, ERUNT, that does the backing up and will give that error. No worries there.
There are a few followup things I'd like to discuss regarding getting this computer set up better. It's my parents' computer, and I'm wondering if there are any changes I can make to it to reduce the likelihood of them getting into this much malware again. Most of the stuff they do on this computer is checking facebook / email, news, and maybe some online shopping. My best guess for how they got so many malware items is just visiting too many clickbait articles, but I'm not 100% sure on this.
-What browser should I get them to start using. They currently use internet explorer. My preference would be Chrome or Firefox, but I'm not sure if there's a significant difference from a security standpoint. (The advice article in your post is from 2009. While I generally accept that Chrome and Firefox are better than IE, I'd like to be sure on this).
Personally, I use FireFox on my machines. Mostly because I can't stand Internet Explorer being so slow and dodgy. I've really gotten used to Firefox. A lot of that is personal preference.
-They currently have McAfee as their anti-virus and firewall. Is this good enough, or should I switch them to MSE and the Windows firewall?
I'd remove McAfee from the system. I've never been that impressed with it from a security standpoint. I have the free version of Avast anti-virus on my system which can be set to a pretty high level of security. I use the Windows firewall for instead of a third party because of it being a part of the Windows system overall.
-My home computer has no-script running along with Firefox. Ideally, I'd like to have something similar set up on this computer; however, in the past, their response has been to declare the internet browser broken and just go back to internet explorer. Is there some sort of solution that's a happy medium to this (filters out adware, but doesn't shut down a website to the point that they either disable the program or go to it in a different browser)? (This is why I opted to keep Java - I don't want them thinking something doesn't work and then trying to fix it or work around it.)
Considering their browsing habits, a good ad blocker like AdBlock Edge along with No Script will help provide some protection. I have both installed on my machine for protection. I also have the paid version of Malwarebytes Anti-Malware installed on my machine for real time protection. Disclaimer: I do not work for or have any affiliation with Malwarebytes, I just love that program. As for their habit of switching back, I would install the AdBlock Edge and No Script plugins, and then walk them through, showing them what it does.
-There's a Firefox addon I have on my home computer that rates a website's overall safety and puts a green, yellow, or red circle by the website to indicate how safe it is. I think it's a McAfee addon, but I'm not 100% sure. Is there something similar for either Chrome or Internet Explorer?
I think this add on for Chrome WOT (Web of Trust) is similar to what you're using in Firefox. This is another program I use in researching malware. Here's a link to it in the Chrome Add-Ons site.