Your logs look pretty good to me.
Here are unnecessary auto starts;
ehTray...This startup loads a system tray icon that allows you to control various aspects of Media Center...Your choice really
IgfxTray...Quick access to the control panel via a System Tray icon for graphics based upon the Intel chipsets...not required
Persistence...Associated with the Common User Interface module for Intel graphics cards
Adobe Reader Speed Launcher...supposedly speeds Adobe Reader when it opens. Turn it off.
SunJavaUpdateSched...SunJava update notifier. Check it manually.
QuickTime Task...System Tray access to Apple's "Quick Time" viewer from version 5 onwards. Not required.
LightScribe Control Panel...The LightScribe System Software installation includes an application that allows you to customize your LightScribe settings and to monitor your system Information. Users choice
MSMSGS...Windows Messenger utility. If you don't use Windows Messenger, this can be annoying. Available via Start -> Programs. Go to Windows Messenger > Tools > Options > Preferences and uncheck "Run this program when Windows starts" This is NOT an IM program. Not required.
AdobeUpdater...exactly what it says it is. Update manually.

Be sure to get an antivirus on the "old" computer. Add SpywareBlaster to BOTH computers for sure.
Can you get online with the laptop?