After cleaning up the formatting - this is what that chunk looks like...
HKEY_LOCAL_MACHINE\Software\Policies\Microsoft\Windows\WindowsUpdate\AU
NoAutoRebootWithLoggedOnUsers REG_DWORD 0x1
NoAutoUpdate REG_DWORD 0x0
HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Policies\Explorer
NoInternetOpenWith REG_DWORD 0x1
NoDriveTypeAutoRun REG_DWORD 0xdd
NoCDBurning REG_DWORD 0x1
NoWindowsUpdate REG_DWORD 0x1
ClearRecentDocsOnExit REG_DWORD 0x0
NoRecentDocsHistory REG_DWORD 0x0
NoInstrumentation REG_DWORD 0x0
NoLowDiskSpaceChecks REG_DWORD 0x1
HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Policies\WindowsUpdate
DisableWindowsUpdateAccess REG_DWORD 0x1
HKEY_LOCAL_MACHINE\Software\Policies\Microsoft\Windows\WindowsUpdate\AU
NoAutoRebootWithLoggedOnUsers REG_DWORD 0x1
NoAutoUpdate REG_DWORD 0x0
You have a lot of entries there - all of which are totally unnecessary, and none of which normally exist in a Home Premium system
Please open an Elevated Command Prompt, and run the following commands (They may or may not work, depending on the registry permissions)
REG DELETE HKEY_LOCAL_MACHINE\Software\Policies\Microsoft\Windows\WindowsUpdate\AU
REG DELETE HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Policies\Explorer
REG DELETE HKEY_LOCAL_MACHINE\Software\Policies\Microsoft\Windows\WindowsUpdate\AU
Once the commands have run, close the window and reboot - then try Windows Update again.