Hi philentropy,
I recommend that you PRINT these instructions in order to follow them correctly and make things easier.

Your HJT log does show multiple entries for malware/spyware. It also shows you are running two anti-virus program, Norton and AVG Free. This is an absolute No-No. First you must UNINSTALL AVG. I am recommending this one be uninstalled because Norton is a pay for program so you obviously have purchased this program. Now a caution here, if your Norton subscription has expired and you installed AVG to take it's place then UNINSTALL the Norton. But ONE of them must go immediately. I also stress UNINSTALL, DO NOT just delete. Go first to Add/Remove and go through the full removal process for whichever program you choose to remove. Once you have followed all those steps then do a file search by going to Start, Run Search, Files and Folders and search for all files related to whichever product you have uninstalled. If it is Norton then search for all files named Norton and Symantec. If it is AVG then do a search for all files AVG.
Also go to Add/Remove and search for a program called Spywarebot.
Now chances are you may not find it there but look anyway and if you do find it then UNINSTALL it.
If you do not find it there then double click My Computer, Double Click "C" drive.
Once in "C" drive then go to C:\Program Files\ and double click the Program Files folder. Look there for the Spywarebot folder. Open that folder and see if there is an Uninstall option there. If there is, use it. If not then close that Spywarebot folder and delete it.

Now once you have done all of the above, and if some of the steps cannot be completed yet don't worry about it now but do try them all, I want you to go to this LINK

Follow the steps given there, including the Enabling of Hidden Files and Folders and learning how to boot to Safe Mode if you do not know how to do this.

Then I want you to download all of the programs listed there...AdAwareSE, including the Vx2 removal add-on, SpyBot Search & Destroy(notice the difference but similarity to the name of the program above I wanted you to remove. THIS program is the legitimate removal program, the one above is NOT. Also download CCleaner, and the AVG Anti-spyware program. Install all of them. Then update all of them AND also update your Norton program. Do not run any of these yet, just install and update. They may ask if you want to scan now, say NO.

For the time being do not worry about doing the online scans listed in the link since you are having problems running them at this time.

Shut down your computer.
Unplug from the internet. I mean literally remove the internet plug from the back of the computer.
Reboot the computer in SAFE MODE.
Once the computer is booted into SAFE MODE then go to Add/Remove and look for the following programs and Remove if they are listed;
PSHope
TClock
If either tells you that you must reboot say no, that you will do it later.
Once you have done that;
Run a FULL SYSTEM scan with your Norton Anti-virus and Fix everything found.

Next open and RUN CCleaner with the default options to clean out temporary files. Only use the Default Scan (Windows Tab) and select Run Cleaner. Do not run any other options from other tabs.

Open SpyBotSD and Click “Check for Problems.” Allow SpyBot to fix what it finds.
Open Ad-Aware SE Personal and Click START > Check the Perform full system scan box > Click NEXT. Allow Ad-Aware to fix what it finds.
Next run the Vx2 Plug-in on AdAwareSE.

Run the optional but recommended AVG Anti-Spyware, please OPEN EWIDO and click Scanner > Complete System Scan.
Allow it to fix what it finds and click on Save Report. Save the log to where it can be easily found and please attach it along with your HijackThis log when you post back.

After you have completed the above steps then Double Click My Computer.
Double Click "C" Drive.
Once in "C" Drive go to the following folders and delete the items noted in RED. I repeat, just the entry noted in RED not the entire folder;

C:\WINNT\system32\wfxqhv.exe
C:\Program Files\System Files\System.exe
C:\Program Files\PSHope\PSHope.exe
C:\Program Files\Common Files\??stem\d?xplore.exe
C:\Program Files\TClock\tclock_install.exe

If you cannot locate any of the above please note it and move on to the next one.

Once you have completed all the steps given then shut down the computer. Re-attach the internet hook up to the computer.
Reboot the computer to NORMAL mode.

With ALL browsers CLOSED run a new HJT scan and save the log.
Then come back here and post the new HJT log AND the Ewido log here and we can see if other steps need to be taken.