Sorry- that was only to show the hidden files and remove the malware file. That usually can't be done in Normal Mode because the process will be running and won't allow the delete.
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Current Flash Player versions are:

Flash Player 10.3
Flash Player 11.1 (debugger)
http://www.adobe.com/support/flashplayer/downloads.html

The version you have is v10.0.32.18
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I am more concerned by the fact that there is no antivirus program on the system. Eset is only an online, on demand scanner. Avast does not appear to be running. The only entry I see is 10/16 when it was installed and a few days later for update. No processes, no Services or drivers and although security was to be disabled for Combofix and Eset scans, instructions say to enable after scan.

Please check on the AV status- there is no Avast in the HJT log..

Even if these were not in Add/Remove Programs, you still need to show hidden files and folders as instructed, then go through the following: Program folders and Add/Remove Program in the Control Panel are two different sections.

Rehide the files and folders when finished.
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Regarding security, there is almost none. Choose from the following suggestions: use all, use some or use none- your choice: The Eset is only an on demand scanner, Malwarebytes, if you used our free scan, does not have real time protection- the full version has to be purchased to have that.

Tips for added security and safer browsing: (Links are in Bold Blue)

1. Browser Security
   [o] Safe Settings (Please ignore the suggestion to use the Registry Editor in this section "Creating a Custom Security Zone")
   [o] ZonedOut. This manages the Zones in Internet Explorer. (For IE7 and IE8, Windows 2000 thru Vista. No Windows 7)
   [o] Replace the Host Files
   [o] Google Toolbar Pop Up Blocker
   [o]Web of Trust (WOT) Site Advisor. Traffic-light rating symbols show which rate the site for Trustworthiness, Vendor Reliability, Privacy, Child Safety.
   
2. Have layered Security:
   [o]Antivirus :(only one):Both of the following programs are free and known to be good:
   [o]Avira-AntiVir-Personal-Free-Antivirus
   [o]Avast-Free Antivirus
   [o]Firewall (only one): Use bi-directional firewall. Both of the following programs are free and known to be good:
   [o]Comodo
   [o]Zone Alarm
   
3. Antimalware: I recommend all of the following:
   [o]Spywareblaster: SpywareBlaster protects against bad ActiveX.
   [o]Spybot Search & Destroy
   
4. Updates: Stay current:
   [o] the Microsoft Download Sitefrequently. All updates marked Critical and the current SP updates.
   [o]Adobe Reader Install current, uninstall old.
   [o]Java Updates Install current, uninstall old.
   
5. Tracking Cookies
   Information previously given.
6. Do regular Maintenance
   Clean the temporary internet files often:
   [o] Temporary File Cleaner]
   or
   [o] ATF Cleaner by Atribune
7. Restore Points:
   [o]See System Restore Guide
8. Safe Email Handling
   [o] Don't open email from anyone you don't know.
   [o] Don't open Attachments in the email. Safe to your desktop and scan for viruses using a right click
   [o] Don't leave your personal email address on the internet. Have a separate email account at one of the free web-based emails like Yahoo.

Please let me know if you find any bad link.
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Please reopen HijackThis to 'do system scan only.' Check each of the following, if present:

O2 - BHO: (no name) - {7E853D72-626A-48EC-A868-BA8D5E23E045} - (no file)
O16 - DPF: {2BC66F54-93A8-11D3-BEB6-00105AA9B6AE} (Symantec AntiVirus scanner) - http://security.symantec.com/sscv6/S...in/AvSniff.cab
O16 - DPF: {644E432F-49D3-41A1-8DD5-E099162EEEC5} (Symantec RuFSI Utility Class) - http://security.symantec.com/sscv6/S.../bin/cabsa.cab

Close all Windows except HijackThis and click on "Fix Checked"
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Open Internet Explorer: Tools> Manage Addons> look in both sections> 'addons currently running' and 'addons previously running'> find the entries:
AvSniff.cab
cabsa.cab
Highlight each> uninstall.

Note If you do not see the above entries, look in the processes below and see if there are any other recognizable 'words':
(Symantec AntiVirus scanner) - http://security.symantec.com/sscv6/S...in/AvSniff.cab
(Symantec RuFSI Utility Class) - http://security.symantec.com/sscv6/S.../bin/cabsa.cab

Security companies have found a vulnerabllity on this 'once a week virus scan.'
Perhaps you could explain to the owner that a system need a antivirus program that runs in Real Time, updates regularly. Online scans do not protect a system in Real Time.
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From the Security Check: Windows Vista Service Pack 2 x86 (UAC is enabled)
You might also want to bring this to the users attention:
User Account Control Step-by-Step Guide:
http://technet.microsoft.com/en-us/library/cc709691(WS.10).aspx
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Since the problems have been resolved and the system is clean, go on to this:

Removing all of the tools we used and the files and folders they created

• Uninstall ComboFix and all Backups of the files it deleted
• Click START> then RUN
• Now type Combofix /Uninstall in the runbox and click OK. Note the space between the X and the U, it needs to be there.
  

• Download OTCleanIt by OldTimer and save it to your Desktop.
• Double click OTCleanIt.exe.
• Click the CleanUp! button.
• Select Yes when the "Begin cleanup Process?" prompt appears.
• If you are prompted to Reboot during the cleanup, select Yes.
• The tool will delete itself once it finishes.

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Note: If you receive a warning from your firewall or other security programs regarding OTC attempting to contact the internet, please allow it to do so.

Note: If any tool, file or folder (belonging to the program we have used) hasn't been deleted, please delete it manually.
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• You should now set a new Restore Point and remove the old restore points to prevent infection from any previous Restore Points.
• Go to Start > All Programs > Accessories > System Tools
• Click "System Restore".
• Choose "Create a Restore Point" on the first screen then click "Next".
• Give the Restore Point a name> click "Create".
  
• Go back and follow the path to > System Tools.
  [*]Choose Disc Cleanup
  [*]Click "OK" to select the partition or drive you want.
  [*]Click the "More Options" Tab.
  [*]Click "Clean Up" in the System Restore section to remove all previous Restore Points except the newly created one.

Empty the Recycle Bin