I have several error codes that appear when I try to reinstall the failed updates.
I ran a fix it, have tried troubleshooter which always says there may be issues troubleshooting as an administrator. It says it fixes the problem, but it always re-occurs.
I have tried installing them manually but no luck. I even tried installing three optional ones separately, but the same happens.
When I first try to search for updates error 8024a000 arrives. I search again and it works. The updates have failed since 30.1.2014.

What are the error codes you're getting and related to which KB#'s?
Try using DISM.exe
Open an elevated command prompt. To do this, swipe in from the right edge of the screen, and then tap Search. Or, if you are using a mouse, point to the lower-right corner of the screen, and then click Search. Type Command Prompt in the Search box, right-click Command Prompt, and then click Run as administrator. If you are prompted for an administrator password or for a confirmation, type the password, or click Allow. Type the following commands. Press Enter after each command. Note It may take several minutes for each command operation to be completed.
DISM.exe /Online /Cleanup-image /Scanhealth
DISM.exe /Online /Cleanup-image /Restorehealth

Close the command prompt, and then run Windows Update again.
DISM creates a log file (%windir%/Logs/CBS/CBS.log) that captures any issues that the tool found or fixed. %windir% is the folder in which Windows is installed. For example, the %windir% folder is C:\Windows.
http://support.microsoft.com/kb/947821/en-us
Retry the updates