I see MBAM did its usual excellent job. Yuk, what a mess.
I want to check for rootkits before we go any further. It's more of an exploratory run rather than looking for anything specific.
Download and run Sophos AntiRootkit. Post the log in this thread, even if nothing is found.
You find link(s) and instructions here:
»
Security Cleanup FAQ »
Rootkit Detection Applications