I have scanned your new logs and don’t see much in the way of malware. But there may be some settings in your Firefox profile that does not show in the regular scanners. Please run the following tools and allow them to fix what they find. Please post the logs the tools produce. Thanks.
FIRST >>>>
Junkware Removal Tool
Please download JRT from here to your desktop.
Note: Temporarily disable/shut down your protection software now to avoid potential conflicts, how to do so can be read here.
Double click the JRT.exe file to run the application.
The application will open an Command Prompt window and run from there (this is normal for this program, so not to be alarmed).
When it is asked, press any key to allow the program to continue / run.
This will create a log on the desktop; please copy and paste the JRT.txt log text in your next post.
Note: After the log file is created, please enable your protection software / reboot your system and verify your protection software is enabled.
SECOND >>>>
AdwCleaner by Xplode
Download AdwCleaner from here or from here. Save the file to the desktop.
NOTE: If you are using IE 8 or above you may get a warning that stops the program from downloading. Just click on the warning and allow the download to complete.
Close all open windows and browsers.
Vista/7/8 users: Right click the AdwCleaner icon on the desktop, click Run as administrator and accept the UAC prompt to run AdwCleaner.
Click the Scan button and wait for the scan to finish.
After the Scan has finished the window may or may not show what it found and above, in the progress bar, you will see: Waiting for action. Please uncheck elements you don’t want to remove.
Click the Clean button.
Everything checked will be deleted.
When the program has finished cleaning a report appears.
Once done it will ask to reboot, allow this
http://1.bp.blogspot.com/-vitKqfMQS4o/UEDylIQ7HJI/AAAAAAAABLc/Hx-IwqKoaxg/s1600/adwcleaner_delete_restart.jpg
On reboot (if one is needed) a log will be produced; please copy / paste that in your next reply. This report is also saved to C:\AdwCleaner\AdwCleaner[C#].txt
Optional:
NOTE: If you see AVG Secure Search being targeted for deletion, Here’s Why and Here. You can always Reinstall it.