Hello guys, thank you very much for your answers.
I retried Wusu offline installer, disconnected from Internet: It tells "no missing update found".
I clicked Windows Update: It tells "Windows is up to date".
It looks like Wusu see the update in the listing, but does not see that they are "failed" and nothing try to reinstall the failed ones.
Finally:
I tried again classic tools: "Windows Troubleshooter": There is a windows update error (attached jpg below)
I tried "WindowsUpdateAgent 7.6-x64": Though, running Windows update and resulting by appearing the same message saying "Windows is up to date"
I tried "WindowsUpdateDiagnostic": The same error appears: error 0x80070005
Here is the last log of Wusu:
Thu 12/22/2016 9:33:32.29 - Info: Starting WSUS Offline Update (v. 10.8.1)
Thu 12/22/2016 9:33:32.29 - Info: Used path "C:\Users\Admin\Downloads\wsusoffline1081\wsusoffline\client\cmd\" on ADMIN-PC (user: Admin)
Thu 12/22/2016 9:33:32.30 - Info: Option /updatecpp detected
Thu 12/22/2016 9:33:32.32 - Info: Option /verify detected
Thu 12/22/2016 9:33:32.34 - Info: Option /autoreboot detected
Thu 12/22/2016 9:33:35.12 - Info: Found Microsoft Windows version 6.1.7601.23572 (w61 x64 enu sp1)
Thu 12/22/2016 9:33:35.12 - Info: Found Microsoft Windows Software Licensing Management Tool info...
Thu 12/22/2016 9:33:35.12 - Info: Name: Windows(R) 7, HomePremium edition
Thu 12/22/2016 9:33:35.12 - Info: Description: Windows Operating System - Windows(R) 7, OEM_COA_SLP channel
Thu 12/22/2016 9:33:35.12 - Info: Partial Product Key: XPW2T
Thu 12/22/2016 9:33:35.12 - Info: License Status: Licensed
Thu 12/22/2016 9:33:35.16 - Info: Found total physical memory: 6 GB
Thu 12/22/2016 9:33:35.17 - Info: Found Windows Update Agent version 7.6.7601.23453
Thu 12/22/2016 9:33:35.18 - Info: Found Windows Installer version 5.0.7601.23593
Thu 12/22/2016 9:33:35.18 - Info: Found Windows Script Host version 5.8.9600.18538
Thu 12/22/2016 9:33:35.19 - Info: Found Internet Explorer version 9.11.9600.18537
Thu 12/22/2016 9:33:35.19 - Info: Found Microsoft Silverlight version 5.1.50901.0
Thu 12/22/2016 9:33:35.20 - Info: Found Remote Desktop Client version 6.3.9600.16415
Thu 12/22/2016 9:33:35.20 - Info: Found Microsoft .NET Framework 3.5 version 3.5.30729.5420
Thu 12/22/2016 9:33:35.21 - Info: Found Windows PowerShell version 2.0
Thu 12/22/2016 9:33:35.22 - Info: Found Microsoft .NET Framework 4 version 4.6.01590
Thu 12/22/2016 9:33:35.22 - Info: Found Windows Management Framework version 5.0.10586.117
Thu 12/22/2016 9:33:35.23 - Info: Found Microsoft Security Essentials version 4.10.209.0
Thu 12/22/2016 9:33:35.23 - Info: Found Microsoft Security Essentials definitions version 1.233.2933.0
Thu 12/22/2016 9:33:35.24 - Info: Found Network Inspection System definitions version 116.72.0.0
Thu 12/22/2016 9:33:35.25 - Info: Found Windows Defender definitions version 1.95.191.0
Thu 12/22/2016 9:33:35.25 - Info: Medium build date: 12/21/2016
Thu 12/22/2016 9:33:35.27 - Info: Medium supports Microsoft Windows (w61 x64 glb)
Thu 12/22/2016 9:33:35.34 - Info: Disabled screensaver
Thu 12/22/2016 9:33:35.46 - Info: Created temporary power scheme
Thu 12/22/2016 9:33:35.88 - Info: Adjusted power management settings
Thu 12/22/2016 9:33:43.04 - Info: Stopping service 'Windows Update' (wuauserv)
Thu 12/22/2016 9:33:43.07 - Info: Waiting for service 'wuauserv' to reach state 'STOPPED' (timeout: 180s)
Thu 12/22/2016 9:33:43.07 - Info: Service 'wuauserv' reached state 'STOPPED'
Thu 12/22/2016 9:33:43.06 - Info: Stopped service 'Windows Update' (wuauserv)
Thu 12/22/2016 9:33:45.20 - Info: Starting service 'Windows Update' (wuauserv)
Thu 12/22/2016 9:33:45.22 - Info: Waiting for service 'wuauserv' to reach state 'RUNNING' (timeout: 60s)
Thu 12/22/2016 9:33:45.23 - Info: Service 'wuauserv' reached state 'RUNNING'
Thu 12/22/2016 9:33:45.21 - Info: Started service 'Windows Update' (wuauserv)
Thu 12/22/2016 9:33:47.36 - Warning: Hash file hashes-wsus.txt not found
Thu 12/22/2016 9:36:50.58 - Info: Listed ids of missing updates
Thu 12/22/2016 9:36:57.54 - Info: Listed ids of installed updates
Thu 12/22/2016 9:36:57.56 - Info: Listed update files
Thu 12/22/2016 9:36:57.64 - Info: No missing update found
Thu 12/22/2016 9:36:57.65 - Info: Restored screensaver setting
Thu 12/22/2016 9:36:57.67 - Info: Activated previous power scheme
Thu 12/22/2016 9:36:57.72 - Info: Deleted temporary power scheme
Thu 12/22/2016 9:36:57.74 - Info: Ending WSUS Offline Update
Here is the installed updates in Windows Update history:
Here is the Windows troubleshooter result:
Here is the last try of Windows Update: "Windows is up to date:
Now, I do not know what to try to install the failed updates. It is the third time I format this laptop trying to get the updates, but resulting with always the same update errors.
Is it possible that Microsoft only want you to install Windows 10 and not offering a real surveillance of Windows 7 update installation ?
If you have any idea or a magic software to fix this issu.
Thank you again guys, your answers are very appreciated.