While I review your avz log, see the Avast removal tool: http://www.avast.com/eng/avast-uninstall-utility.html
And try to uninstall Avast the normal way, via Windows Control Panel > Add/remove programs, First, before using the uninstall utility, if needed.
Edit: In addition to the above:
Run this script, instructions: http://forum.kaspersky.com/index.php?s=&am...st&p=678368
PC will reboot:
After run script, attach a Combofix log, please review and follow these instructions carefully.
Download it here -> http://download.bleepingcomputer.com/sUBs/ComboFix.exe
Before Saving it to Desktop, please rename it to something like 123.exe to stop malware from disabling it.
Now, please make sure no other programs are running, close all other windows and pause Kaspersky (right click the K icon and click pause protection > Choose the
option "resume manually" if still active) until after the scanning and removal process has taken place.
Please double click on the file you downloaded. Follow the onscreen prompts to start the scan.
Once the scanning process has started please DO NOT click on the Combofix window or attempt to use your computer as this can cause the scanning process to stall.
It may take a while to complete scanning and this is normal.
You will be disconnected from the internet and your desktop icons/toolbars will disappear during scanning, do not worry, this is normal and it will be restored after
scanning has completed.
Combofix will create a logfile and display it after your computer has rebooted. Usually located in c:\combofix.txt, please attach it to your next post. Also, please don't
forget to resume the Kaspersky that you paused.