Just one quick question. Do you know what this program is for?
O4 - HKCU\..\Run: [BTCLiveUpdate] "C:\Program Files\LiveUpdate\LiveUpdate.exe" /autostart
If it's ok to keep then:
Your log is clean. If you disabled System Restore, make sure to enable it now.
To help prevent future spyware installations/infections, please read the Anti-Spyware Tutorial
http://www.greyknight17.com/spyware.htm#prevent and use the tools provided.
Are there any problems now? If not, you should be set to go.