The 80070bc9 reference is on the linked site, page 15.
The CBS.log is on every Windows 7 system, and it not just for Windows Update entries. So look again for the path. If you can't find it, tell me where the path ends. Do you have the CBS folder and any files in it? If you are using Explorer to search for it, start in the Windows directory. It is not a hidden file, so you may see CBS or CBS.log depending on whether you have the Hide extensions of know file types
Copy the CBS.log to your desktop to check it.
The CheckSur.log is the same thing, but it will not be present until the readiness tool in run. Again, it is at:
Reinstalling the Windows Update components might help, if you could. One of the log entries in your WindowsUpdate.log shows it is trying but gets the reboot needed error.
Setup SelfUpdate handler is not found. It will be downloaded
Setup Evaluating applicability of setup package "WUClient-SelfUpdate-ActiveX~31bf3856ad364e35~amd64~~7.6.7600.256"
Handler FATAL: UH: 0x80070bc9: EvaluateApplicability failed in CCbs::EvaluateApplicability
Setup WARNING: CBS EvaluateApplicability returned error, error = 0x80070BC9
Setup FATAL: Applicability evaluation for setup package "WUClient-SelfUpdate-ActiveX~31bf3856ad364e35~amd64~~7.6.7600.256" failed, error = 0x80070BC9
Setup FATAL: SelfUpdate check failed, err = 0x80070BC9
Agent * WARNING: Skipping scan, self-update check returned 0x80070BC9
Agent * WARNING: Exit code = 0x80070BC9
At this point, you may want to think about doing a Repair Install. If you want to try to reinstall the Windows Update components first, go to the linked site. If the Windows Update Agent
is not already installed, you should be prompted to install it. The Second Link is the page that references the first link. http://www.update.microsoft.com/ How to get the latest version of the Windows Update Agent Edit:
On the Updates you do show listed, did any show a failed status and not reinstall later. If any did, you might try uninstalling it/those. But you can only uninstall updates that are listed in the Installed Updates