Everything is looking much better so far...

I ran Delfix - log is below. When I try to update Windows, though, installation failed. I tried it again, only selecting a few smaller-sized updates, and the "preparing to install" step seemed to be hanging.
# DelFix v10.7 - Logfile created 16/05/2014 at 07:52:51
# Updated 27/04/2014 by Xplode
# Username : Renee - LIBRARY-PC
# Operating System : Windows 7 Home Premium Service Pack 1 (64 bits)
~ Activating UAC ... OK
~ Removing disinfection tools ...
Deleted : C:\Qoobox
Deleted : C:\_OTL
Deleted : C:\AdwCleaner
Deleted : C:\Users\Renee\Desktop\mbar
Deleted : C:\Users\Renee\Desktop\RK_Quarantine
Deleted : C:\ComboFix.txt
Deleted : C:\Users\Renee\Desktop\adwcleaner.exe
Deleted : C:\Users\Renee\Desktop\ComboFix.exe
Deleted : C:\Users\Renee\Desktop\dds.txt
Deleted : C:\Users\Renee\Desktop\esetsmartinstaller_enu.exe
Deleted : C:\Users\Renee\Desktop\Extras.Txt
Deleted : C:\Users\Renee\Desktop\FSS.exe
Deleted : C:\Users\Renee\Desktop\FSS.txt
Deleted : C:\Users\Renee\Desktop\JRT.exe
Deleted : C:\Users\Renee\Desktop\JRT.txt
Deleted : C:\Users\Renee\Desktop\OTL.Txt
Deleted : C:\Users\Renee\Desktop\OTL.exe
Deleted : C:\Users\Renee\Desktop\RKreport[0]_D_05042014_141356.txt
Deleted : C:\Users\Renee\Desktop\RKreport[0]_S_05042014_141300.txt
Deleted : C:\Users\Renee\Desktop\RogueKiller.exe
Deleted : C:\Users\Renee\Desktop\SecurityCheck.exe
Deleted : C:\Users\Renee\Desktop\Startup Programs and Services List.docx
Deleted : C:\Users\Renee\Desktop\TFC.exe
Deleted : C:\Windows\grep.exe
Deleted : C:\Windows\PEV.exe
Deleted : C:\Windows\NIRCMD.exe
Deleted : C:\Windows\MBR.exe
Deleted : C:\Windows\SED.exe
Deleted : C:\Windows\SWREG.exe
Deleted : C:\Windows\SWSC.exe
Deleted : C:\Windows\SWXCACLS.exe
Deleted : C:\Windows\Zip.exe
Deleted : HKLM\SOFTWARE\OldTimer Tools
Deleted : HKLM\SOFTWARE\AdwCleaner
Deleted : HKLM\SOFTWARE\Swearware
Deleted : HKLM\SOFTWARE\Microsoft\Windows\CurrentVersion\App Paths\combofix.exe
~ Creating registry backup ... OK
~ Cleaning system restore ...
Deleted : RP #130 [Restore for TechSpot | 05/04/2014 19:18:09]
Deleted : RP #131 [Windows Backup | 05/05/2014 00:00:04]
Deleted : RP #132 [Installed Microsoft Fix it 50195 | 05/08/2014 02:50:54]
Deleted : RP #133 [Windows Backup | 05/12/2014 00:00:05]
New restore point created !
~ Resetting system settings ... OK
########## - EOF - ##########