Windows Update fails repeatedly. Codes 8007054F, 9C59, 800F0826

Just concentrate on the SURT/CheckSUR (yes they are the same) for the moment - once that's clear we can check the SFC again.

Bingo :)
Now please run the SFC /scannow, and post the new CBS.log file
The single error we already know will be there can almost certainly be ignored - in my opinion it should never have been in the protected list in the first place.

AS expected, there's only the one error there still.

Code:

 Line 43494: 2014-03-30 22:46:03, Info                  CSI    00000315 [SR] Repairing 1 components
 Line 43495: 2014-03-30 22:46:03, Info                  CSI    00000316 [SR] Beginning Verify and Repair transaction
 Line 43498: 2014-03-30 22:46:03, Info                  CSI    00000318 [SR] Cannot repair member file [l:20{10}]"tcpmon.ini" of Microsoft-Windows-Printing-StandardPortMonitor-TCPMonINI, Version = 6.1.7600.16385, pA = PROCESSOR_ARCHITECTURE_AMD64 (9), Culture neutral, VersionScope = 1 nonSxS, PublicKeyToken = {l:8 b:31bf3856ad364e35}, Type neutral, TypeName neutral, PublicKey neutral in the store, hash mismatch
 Line 43501: 2014-03-30 22:46:03, Info                  CSI    0000031a [SR] Cannot repair member file [l:20{10}]"tcpmon.ini" of Microsoft-Windows-Printing-StandardPortMonitor-TCPMonINI, Version = 6.1.7600.16385, pA = PROCESSOR_ARCHITECTURE_AMD64 (9), Culture neutral, VersionScope = 1 nonSxS, PublicKeyToken = {l:8 b:31bf3856ad364e35}, Type neutral, TypeName neutral, PublicKey neutral in the store, hash mismatch
 Line 43502: 2014-03-30 22:46:03, Info                  CSI    0000031b [SR] This component was referenced by [l:202{101}]"Microsoft-Windows-Foundation-Package~31bf3856ad364e35~amd64~~6.1.7601.17514.WindowsFoundationDelivery"
 Line 43507: 2014-03-30 22:46:03, Info                  CSI    0000031e [SR] Could not reproject corrupted file [ml:520{260},l:46{23}]"\??\C:\Windows\System32"\[l:20{10}]"tcpmon.ini"; source file in store is also corrupted
 Line 43512: 2014-03-30 22:46:03, Info                  CSI    00000320 [SR] Repair complete

Please do a manual Check for Updates in Windows update and attempt to install only the oldest update available - which one is it, and what error message do you get (if any)

Sad times. Update failed

Tried to update KB2592687 dated 10/09/13

Failed with error code 80243004.

Meant to say - didn't even look like it tried to install the update. It just hovered on "Preparing to Install" for ages.

Hmm - I can't see why this should be relevant, but....
Windows Update error 0x80243004
Windows Update Fails With Error 0x80243004 or 80243004
error 80243004?

may help :)

The 80243004 fix worked, the update installed but then failed on the configuration after reboot - got to 97% and then rolled back the changes through several reboots.

Error code is (again): 8007054F

Had a quick google but doesn't seem to be one consistent fix for this.

Please post the new C:\Windows\windowsupdate.log file, and the new CBS.log file - they may tell me something.