Here is what happened when I followed your suggestions. Repaired Safe Mode BootKey. Then ran SuperAntiSpyware full scan in safe mode. It noted a few things - log is below. (I neglected to mention that I had also run SuperAntiSpyware before too. It caught some things, and the problem went away briefly, but came back.).
I let SAS repair the things it caught, then I rebooted into normal mode. Within a couple of minutes the Antivirus Soft started up again and blocked the starting of my MalwareBytes. So I made a little end run around it and downloaded MBam again to a different location under a different name. Updated it and ran a quick scan, which took a long time with all of the popups etc., which resulted in it finding about a dozen things, including avsoft and avsuite again. However, when I tried to remove them and save the log the program froze up. I had to force quit a very large version of svchost.exe in order to complete the removal. The log apparently did not save.
When I rebooted into normal mode, Antivirus Soft started right back up again, the same as before. It also started popping up IE windows with porn sites. I am now back in Safe Mode.
SUPERAntiSpyware Scan Loghttp://www.superantispyware.com
Generated 06/04/2010 at 02:32 PM
Application Version : 4.38.1004
Core Rules Database Version : 5025
Trace Rules Database Version: 2837
Scan type : Complete Scan
Total Scan Time : 01:19:46
Memory items scanned : 291
Memory threats detected : 0
Registry items scanned : 7000
Registry threats detected : 4
File items scanned : 27162
File threats detected : 0
Edited by AlinNYC, 04 June 2010 - 03:48 PM.