There are a couple of nasty worms visible in this log.
Try a boot time scan with avast! Right click the scanner screen, select ‘schedule a boot time scan’ and reboot when requested.
Try a scan with DrWeb CureIT!
If you can’t download it on the infected computer, do so on another computer, burn it to disc and run it in Safe Mode if possible.
Can you boot into Safe Mode with Networking?
If so, run some online scans.
F-Secure
BitDefender
Panda
Trend Micro Housecall
ESET Online Scanner