Hello,
Welcome to Microsoft Community. I appreciate your efforts for providing detailed information on the issue. I would also like to know the KB number of the updates which are being reoffered.
This issue may arise when there are issues with the Windows update components. I suggest you, to try the following methods to fix the issue.
Method 1: Windows Update Troubleshooter
This will automatically detect and resolve the common issues with Windows updates. To run the troubleshooter, click on the following link and download the troubleshooter, by clicking on Run now.
https://support.microsoft.com/en-us/gp/windows-update-issues
If the issue persists, try method 2.
Method 2:
Follow the article on,
Windows update or Microsoft Update repeatedly offers the same update.
https://support.microsoft.com/en-us/kb/910339?wa=wsignin1.0
Method 3: Reset Windows Update components
If the issue is caused by the Widnows update components, you may reset all the components by follow the article below.
https://support.microsoft.com/en-us/kb/971058
To do so: Important this section, method, or task contains steps that tell you how to modify the registry. However, serious problems might occur if you modify the registry incorrectly. Therefore, make sure that you follow these steps carefully. For added protection, back up the registry before you modify it. Then, you can restore the registry if a problem occurs. For more information about how to back up and restore the registry, click the following article number to view the article in the Microsoft Knowledge Base:
How to back up and restore the registry in Windows
Hope this information was helpful.