You need more memory - there's only 830 mB free, which will seriously impact the performance of your system.
Until you can get more memory, trim the items that startup when your system boots up - and only run one program at a time (closing the others before opening a new one).
Only 92 updates since SP1 - most systems have 130 to 140. Please visit Windows Update and get ALL available Windows Updates
Numerous errors of this type in the Application logfile of Event Viewer:
Event[4101]:
Log Name: Application
Source: SideBySide
Date: 2012-10-02T14:30:02.000
Event ID: 80
Task: N/A
Level: Error
Opcode: N/A
Keyword: Classic
User: N/A
User Name: N/A
Computer: Neal-Mac
Description:
Activation context generation failed for "C:\Program Files (x86)\Adobe\Acrobat 9.0\Designer 8.2\FormDesigner.exe".Error in manifest or policy file "" on line . A component version required by the application conflicts with another component version already active. Conflicting components are:. Component 1: C:\Windows\WinSxS\manifests\amd64_microsoft.windows.common-controls_6595b64144ccf1df_6.0.7601.17514_none_fa396087175ac9ac.manifest. Component 2: C:\Windows\WinSxS\manifests\x86_microsoft.windows.common-controls_6595b64144ccf1df_6.0.7601.17514_none_41e6975e2bd6f2b2.manifest.
Please completely un-install the version of the program (Acrobat 9.0\Designer 8.2) located at the location specified above (highlighted in
RED)
This next error seems to point to the Apple firmware - and I am not very familiar with Mac's or BootCamp operations. You may want to see if there's an update for the BIOS/firmware on this particular Mac. If it were mine, I'd un-install all the BootCamp stuff and then re-install it - just to be sure it's not a problem with BootCamp.
Event[9906]:
Log Name: System
Source: Microsoft-Windows-HAL
Date: 2012-10-01T18:58:08.596
Event ID: 12
Task: N/A
Level: Error
Opcode: Info
Keyword: N/A
User: N/A
User Name: N/A
Computer: Neal-Mac
Description:
The platform firmware has corrupted memory across the previous system power transition. Please check for updated firmware for your system.
As there isn't much in the way of other reports, I'd have to wonder if there are issues with overheating also - as there are numerous events where the system shutdown without explanation. Please be sure to only use the MacBook on a hard surface. I don't know about troubleshooting the Mac cooling system - so you'd be better served by troubleshooting the hardware in an Apple forum.