I don't see any malware in your log, it could be system files missing/corrupted.
try running sfc \scannow to see if any system files are missing.
put your XP disc in the drive.
click on START\RUN and type CMD into the address bar and click OK.
At the DOS PROMPT type SFC /SCANNOW. note the space between SFC and /SCANNOW. hit enter.
let us know how you get on.
-------------------- MY HELP IS FREE,BUT PLEASE CONSIDER GIVING A DONATION TO HELP IN MY FIGHT AGAINST SPYWARE. You don't stop laughing when you get old, you get old when you stop laughing!