Obviously something is stopping these updates and now also stopping the running of ESET Scanner. Are you certain you turned off all your antivirus program, your firewall and your pop-up stopper when trying to do both?
You should also check your sun java program. Only reference to java I see is in these entries in your HJT log.
O16 - DPF: {8AD9C840-044E-11D1-B3E9-00805F499D93} (Java Runtime Environment 1.4.1_06) -
O16 - DPF: {CAFEEFAC-0014-0001-0006-ABCDEFFEDCBA} (Java Runtime Environment 1.4.1_06) -
These would indicate an out of date java.
First of all go to SunJava Downloads
Download the latest version which is version 6 update 7. Be sure to download the OFFLINE install and save it to the desktop.
Once you have done this close out all browsers. Go to Add/Remove and uninstall ALL older versions of java you find there.
Reboot the computer.
Once you have rebooted then double click that Java install icon on the desktop and install the new version. When the install is complete then go back to that download page and on the right side you should see Verify Now. Click that to verify the install was successful.
Once you have done that then see if you can run ESET Scanner again. If you cannot then try the Panda Active Scan Let it clean what it finds.

Once other thing on the update problem with MBA-M. On that update page you will see the option to change the update mirror. Click that arrow there and change to a different download location and see if that makes a difference. Occasionally the download site may be blocked by the malware on the system, or the download site itself could be busy so always try one of the others shown there.