This is interesting.
Are you sure there is no other software installed on the machines besides Adobe Premiere Pro and Microsoft Office 2010? I have windows 7 machines (64-bit) with both of those applications and avast is running great on them. It sounds like there is another 3rd party application that is using some windows .dll files and avast isn’t liking it.

Try installing avast! and adding a global exclusion of C:* to the settings. If you reboot and windows boots fine without the error, then the above may be the case. This obviously is not a fix, but a step in finding the culprit.

Have you tried rebuilding your installation file in AEA? Maybe your installer is corrupted?