Reinstalled windows, windows update won't run and other issues

My PC was running very slowly, so I backed up everything and restored it to the image stored in the samsung recovery area (this wasn't the first thing I had tried, nothing else seemed to make any difference). Although the laptop is now running fast again and starting up quickly, windows update now won't run. It was saying "windows update service is not running. You may need to restart your computer". Restarting the computer doesn't do anything at all. I checked that the service was running in services and it is (says delayed start).

I also seem to be missing a chunk of my hard drive (was about a tb before and now is about 500gb), but I think this is to do with the fact that I had partitions before. I am going to use easeus partition manager to fix this (unless there is another reason for this). Also, the pc doesn't seem to recognise my external hard drive, which is a pain because it has all my backups on it. There is one "unknown device" that the troubleshooter will not fix (not sure if the troubleshooter is also broken as it says there is nothing wrong with windows update), but I don't know what it is so can't get the drivers for it. Updating the drivers in device manager just comes back with the driver couldn't be installed.

Any help would be greatly appreciated.

Farbar Service Scanner Version: 24-10-2013
Ran by Megan (administrator) on 29-10-2013 at 16:24:32
Running from "C:\Users\Megan\Downloads"
Microsoft Windows 7 Home Premium (X64)
Boot Mode: Normal
****************************************************************
Internet Services:
============
Connection Status:
==============
Localhost is accessible.
LAN connected.
Google IP is accessible.
Google.com is accessible.
Yahoo.com is accessible.

Windows Firewall:
=============
Firewall Disabled Policy:
==================

System Restore:
============
System Restore Disabled Policy:
========================

Action Center:
============

Windows Update:
============
Windows Autoupdate Disabled Policy:
============================

Windows Defender:
==============
Other Services:
==============

File Check:
========
C:\Windows\System32\nsisvc.dll => MD5 is legit
C:\Windows\System32\drivers\nsiproxy.sys => MD5 is legit
C:\Windows\System32\dhcpcore.dll => MD5 is legit
C:\Windows\System32\drivers\afd.sys => MD5 is legit
C:\Windows\System32\drivers\tdx.sys => MD5 is legit
C:\Windows\System32\Drivers\tcpip.sys
[2009-07-13 23:25] - [2009-07-14 01:45] - 1898576 ____A (Microsoft Corporation) 912107716BAB424C7870E8E6AF5E07E1
C:\Windows\System32\dnsrslvr.dll => MD5 is legit
C:\Windows\System32\mpssvc.dll => MD5 is legit
C:\Windows\System32\bfe.dll => MD5 is legit
C:\Windows\System32\drivers\mpsdrv.sys => MD5 is legit
C:\Windows\System32\SDRSVC.dll => MD5 is legit
C:\Windows\System32\vssvc.exe => MD5 is legit
C:\Windows\System32\wscsvc.dll => MD5 is legit
C:\Windows\System32\wbem\WMIsvc.dll => MD5 is legit
C:\Windows\System32\wuaueng.dll => MD5 is legit
C:\Windows\System32\qmgr.dll => MD5 is legit
C:\Windows\System32\es.dll => MD5 is legit
C:\Windows\System32\cryptsvc.dll => MD5 is legit
C:\Program Files\Windows Defender\MpSvc.dll => MD5 is legit
C:\Windows\System32\ipnathlp.dll => MD5 is legit
C:\Windows\System32\iphlpsvc.dll => MD5 is legit
C:\Windows\System32\svchost.exe => MD5 is legit
C:\Windows\System32\rpcss.dll => MD5 is legit

**** End of log ****

I will post the other logs as soon as they have finished running

Microsoft Windows [Version 6.1.7600]
Copyright (c) 2009 Microsoft Corporation. All rights reserved.
C:\Windows\system32>sfc/scannow
Beginning system scan. This process will take some time.
Beginning verification phase of system scan.
Verification 100% complete.
Windows Resource Protection did not find any integrity violations.
C:\Windows\system32>

Attachment 291609

Attachment 291610

Ok, I downloaded the windows 7 x64 version of SURT and it won't run/install (I am sure this is the right one, I checked in system). It comes up with the following error: "Installer encountered an error: 0xc8000222". I have tried saving the file to my desktop as suggested and also didn't save, but chose the open option instead when asked with the same outcome.

Diagnostic Report (1.9.0027.0):
-----------------------------------------
Windows Validation Data-->

Validation Code: 0
Cached Online Validation Code: N/A, hr = 0xc004f012
Windows Product Key: *****-*****-PWB9R-4K7W4-2BT4J
Windows Product Key Hash: jlJIE69lzaXsu5B+X11cktZP6u8=
Windows Product ID: 00359-OEM-8992687-00015
Windows Product ID Type: 2
Windows License Type: OEM SLP
Windows OS version: 6.1.7600.2.00010300.0.0.003
ID: {073B0422-096D-4EBD-97F3-4072DDBFF1CB}(1)
Is Admin: Yes
TestCab: 0x0
LegitcheckControl ActiveX: N/A, hr = 0x80070002
Signed By: N/A, hr = 0x80070002
Product Name: Windows 7 Home Premium
Architecture: 0x00000009
Build lab: 7600.win7_gdr.100226-1909
TTS Error:
Validation Diagnostic:
Resolution Status: N/A

Vista WgaER Data-->
ThreatID(s): N/A, hr = 0x80070002
Version: N/A, hr = 0x80070002

Windows XP Notifications Data-->
Cached Result: N/A, hr = 0x80070002
File Exists: No
Version: N/A, hr = 0x80070002
WgaTray.exe Signed By: N/A, hr = 0x80070002
WgaLogon.dll Signed By: N/A, hr = 0x80070002

OGA Notifications Data-->
Cached Result: N/A, hr = 0x80070002
Version: N/A, hr = 0x80070002
OGAExec.exe Signed By: N/A, hr = 0x80070002
OGAAddin.dll Signed By: N/A, hr = 0x80070002

OGA Data-->
Office Status: 109 N/A
OGA Version: N/A, 0x80070002
Signed By: N/A, hr = 0x80070002
Office Diagnostics: 025D1FF3-364-80041010_025D1FF3-229-80041010_025D1FF3-230-1_025D1FF3-517-80040154_025D1FF3-237-80040154_025D1FF3-238-2_025D1FF3-244-80070002_025D1FF3-258-3

Browser Data-->
Proxy settings: N/A
User Agent: Mozilla/4.0 (compatible; MSIE 8.0; Win32)
Default Browser: C:\Program Files (x86)\Mozilla Firefox\firefox.exe
Download signed ActiveX controls: Prompt
Download unsigned ActiveX controls: Disabled
Run ActiveX controls and plug-ins: Allowed
Initialize and script ActiveX controls not marked as safe: Disabled
Allow scripting of Internet Explorer Webbrowser control: Disabled
Active scripting: Allowed
Script ActiveX controls marked as safe for scripting: Allowed

File Scan Data-->
File Mismatch: C:\Windows\system32\wat\watadminsvc.exe[Hr = 0x80070003]
File Mismatch: C:\Windows\system32\wat\npwatweb.dll[Hr = 0x80070003]
File Mismatch: C:\Windows\system32\wat\watux.exe[Hr = 0x80070003]
File Mismatch: C:\Windows\system32\wat\watweb.dll[Hr = 0x80070003]

Other data-->
Office Details: <GenuineResults><MachineData><UGUID>{073B0422-096D-4EBD-97F3-4072DDBFF1CB}</UGUID><Version>1.9.0027.0</Version><OS>6.1.7600.2.00010300.0.0.003</OS><Architecture>x64</Architecture><PKey>*****-*****-*****-*****-2BT4J</PKey><PID>00359-OEM-8992687-00015</PID><PIDType>2</PIDType><SID>S-1-5-21-3319042926-2513336005-101065848</SID><SYSTEM><Manufacturer>SAMSUNG ELECTRONICS CO., LTD.</Manufacturer><Model>RF511/RF411/RF711</Model></SYSTEM><BIOS><Manufacturer>American Megatrends Inc.</Manufacturer><Version>14HX.M040.20111020.SSH</Version><SMBIOSVersion major="2" minor="7"/><Date>20111020000000.000000+000</Date></BIOS><HWID>B0BA3607018400FE</HWID><UserLCID>0809</UserLCID><SystemLCID>0409</SystemLCID><TimeZone>GMT Standard Time(GMT+00:00)</TimeZone><iJoin>0</iJoin><SBID><stat>3</stat><msppid></msppid><name></name><model></model></SBID><OEM><OEMID>SECCSD</OEMID><OEMTableID>LH43STAR</OEMTableID></OEM><GANotification/></MachineData><Software><Office><Result>109</Result><Products/><Applications/></Office></Software></GenuineResults>

Spsys.log Content: 0x80070002

Licensing Data-->
Software licensing service version: 6.1.7600.16385

Name: Windows(R) 7, HomePremium edition
Description: Windows Operating System - Windows(R) 7, OEM_SLP channel
Activation ID: d2c04e90-c3dd-4260-b0f3-f845f5d27d64
Application ID: 55c92734-d682-4d71-983e-d6ec3f16059f
Extended PID: 00359-00178-926-800015-02-1033-7600.0000-2242010
Installation ID: 006134537004624172799043544911555400696451163115493982
Processor Certificate URL: http://go.microsoft.com/fwlink/?LinkID=88338
Machine Certificate URL: http://go.microsoft.com/fwlink/?LinkID=88339
Use License URL: http://go.microsoft.com/fwlink/?LinkID=88341
Product Key Certificate URL: http://go.microsoft.com/fwlink/?LinkID=88340
Partial Product Key: 2BT4J
License Status: Licensed
Remaining Windows rearm count: 3
Trusted time: 30/10/2013 10:56:43

Windows Activation Technologies-->
HrOffline: 0x00000000
HrOnline: N/A
HealthStatus: 0x0000000000000000
Event Time Stamp: N/A
ActiveX: Not Registered - 0x80040154
Admin Service: Not Registered - 0x80040154
HealthStatus Bitmask Output:


HWID Data-->
HWID Hash Current: MAAAAAEAAQABAAIAAAACAAAAAgABAAEAln2ELHhNgjryRMq+Or+uZlzD1vVk2y5z

OEM Activation 1.0 Data-->
N/A

OEM Activation 2.0 Data-->
BIOS valid for OA 2.0: yes
Windows marker version: 0x20001
OEMID and OEMTableID Consistent: yes
BIOS Information:
ACPI Table Name OEMID Value OEMTableID Value
APIC SECCSD LH43STAR
FACP SECCSD LH43STAR
HPET SECCSD LH43STAR
MCFG SECCSD LH43STAR
SLIC SECCSD LH43STAR
SSDT PmRef Cpu0Ist
SSDT PmRef Cpu0Ist
SSDT PmRef Cpu0Ist
SSDT PmRef Cpu0Ist