That error indicates a initialization error with the installer.
See this post for the KB article to troubleshoot install problems - http://social.microsoft.com/forums/en-US/onecareinstallandactivate/thread/ba26b781-da18-4ce4-be8c-22647bd5d8fc/
Searching on the extended code you receive with the 0002, I found the following (not for OneCare, but for Windows Updates):
1. Open an Administrator command prompt by right clicking on Start -> All
Programs -> Accessories -> Command Prompt and selecting "Run as
Administrator" and clicking "Allow" for the elevation prompt
2. In the command prompt, type the command below
fsutil resource setautoreset C:
(This assumes that C: is the drive in which Vista is installed. If it is
installed on another drive like D:, please change the drive letter
appropriately)
3. Reboot the machine
You may want to contact support for help.
How to reach support (FAQ) - http://social.microsoft.com/Forums/en-US/onecareinstallandactivate/thread/30400b52-7f26-4ba0-bc18-17e305329d90
-steve
Microsoft MVP Windows Live / Windows Live OneCare, Live Mesh, & MS Security Essentials Forums Moderator