I have also taken a look at these logs. I hate to say this, but it looks like this computer has been infected with a lot more than just the KeyGen from the MS Office snafu.

Running an antivirus such as AVG in the background would've helped to stop the download of the "keygen" from creating any type of issue as it's real-time scanning would've IMMEDIATELY recognized the file as bad.

You can try running some scans with AVG/other virus scanners, but at this point, this installation of windows looks pretty hosed. You will most likely have to reinstall as the infection at this point is way too deep. There is a very high chance that even an advanced tech sitting at the computer itself would even be able to recover from this infection.

Not too mention these logs are showing that a lot of illegal activity has been occuring on this computer. None of this activity is condoned here, and while it is your business what you do with your computer, we really can't help fix issues caused by such illegal behavior.