Update repeat install

Please follow the Windows Update Posting Instructions and post the requested data
If the file is too large (8MB compressed), remove the older CBSPersist cab files until the final file is below the limit - you can always post them separately after zipping them. (the forum doesn't allow the upload of bare CAB files, for a number of reasons)

Yes please - and the C:\Windows\windowsupdate.log file

The Windowsupdate.log file shows this...

Code:

2014-09-18 15:15:30:622  932 18d0 Setup SelfUpdate handler is not found.  It will be downloaded
2014-09-18 15:15:30:644  932 18d0 Setup Evaluating applicability of setup package "WUClient-SelfUpdate-ActiveX~31bf3856ad364e35~x86~~7.6.7600.320"
2014-09-18 15:15:30:855  932 18d0 Setup WARNING: Cbs StartSession, error = 0x80070422
2014-09-18 15:15:30:855  932 18d0 Setup FATAL: Applicability evaluation for setup package "WUClient-SelfUpdate-ActiveX~31bf3856ad364e35~x86~~7.6.7600.320" failed, error = 0x80070422
2014-09-18 15:15:30:855  932 18d0 Setup FATAL: SelfUpdate check failed, err = 0x80070422
2014-09-18 15:15:30:874  932 18d0 Agent   * WARNING: Skipping scan, self-update check returned 0x80070422
2014-09-18 15:15:31:259  932 18d0 Agent   * WARNING: Exit code = 0x80070422

This implies that a Windows Service is unable to start - possibly because it's been disabled.

I think your best bet may be to use ONLY the Windows Update repair section from the tool here... Windows Repair (All In One)
Please don't use the other offerings, as I'm not convinced that they are all as good as the WU Repair.