The log looks ok to me. Stick with the Avira. AVG Used to be good but consistently ranks now behind Avira and the other good free one Avast. I use Avira, have for several years and am very pleased with it.
I would also suggest adding SpywareBlaster. It provides excellent additional protection against ActiveX-based spyware, adware, dialers, browser hijackers,block spyware/tracking cookies in IE, Mozilla Firefox,and many other browsers, and restrict the actions of spyware/ad/tracking sites.
Just download, install, update, enable all and close the program. That's it. Check for new updates once a week, if there are any download and install, enable all close the program. I wouldn't run my computer without it. It IS FREE also.
http://download.cnet.com/SpywareBlaster/3000-8022_4-10196637.html
If all seems to be working well I would say this can be marked solved if you agree.
Judy