Just wanted to say thank you to all who participate on this and other forums like it. I can see the effort it takes to troubleshoot these problems and really appreciate the help!
Anyway...My significant other uses this laptop with XP and is not the most computer literate when it comes to noticing bad links and the like. She noticed a lot of crazy popups and other strange behavior so I downloaded and ran AVG. Which found the trojans I listed in the Topic Title. I thought it fixed the issues, but still get "can't find c:\windows\system32\rafaweti.dll" at startup. I ran Trend Micro and attached the log here. I edited the beginning of the log file to show what AVG found initially.
I'm afraid there are still some funky apps lurking in my PC. Please help!!