The reason for renaming of HJT, ANY version of HJT, is that there are some infections that are "programed" to hide themselves from certain scanners, one of them being HJT. It looks for hijackthis.exe and if this shows on the machine then the infection hides itself. By renaming the infection does not see hijackthis.exe and therefore doesn't hide itself.

I see that Malwarebytes' Anti-Malware removed Rogue.WinAntivirus from the registry. Is the other one the Eset scanner? Nothing found.

You have some items set to run at start up which are unnecessary;
SunJavaUpdateSched
Google Updater
Also Google Updater Service found in services should be disabled.
All of the above can be done manually, plus some people have had problems with that automatic google updater running in the background.

Other than those items the log looks good to me. Are the problems continuing or have they been corrected?