Some programs won't open? LOGS inside!

Hey guys, new guy here, just a few questions. I have some kind of Trojans in my System folder, I know its whats causing some programs not to open like, Adobe Reader 9, AVG, sometime Mozilla, and other programs. Also when I open up Microsoft Excel & Word, they both come up with an error, and let me tell you. Its getting on my nerves. Im also getting random pop ups to. I just don't wanna delete stuff that I need. :[ please tell me how I can fix this,. I got a Hijackthis log and AVG log & Vundo Fix!. Thanks!

AVG 8.0 Anti-Virus command line scanner

 

Welcome to Major Geeks!

Please follow the instructions in the below link and attach the requested logs when you finish these instructions.

READ & RUN ME FIRST. Malware Removal Guide

• If something does not run, write down the info to explain to us later but keep on going.
  Do not assume that because one step does not work that they all will not.
  
  Notes:
• If you run into problems trying to run the READ & RUN ME or any of the scans in normal boot mode. You can run steps in safe boot mode but make sure you tell us what you did later when you post logs. See the below if you do not know how to boot in safe mode:
  Starting your computer in Safe mode
• If you have problems downloading on the problem PC, download the tools on another PC and burn to a CD. Then copy them to the problem PC. You will have to skip getting updates if (and only if) your internet connection does not work. Yes you could use a flash drive too but flash drives are writeable and infections can spread to them.