I promised to come back. So, there am I.
Unfortunately, I don't have good news.
I scratched all the VNC 4.1.0 (yes, 4.1.0) and installed 4.1.2 versions instead.
I tried to update Windows. Some PC's don't seem to want updating. Maybe because of a too narrow Internet bandwidth. Not sure because of an hyperactive worm activity: the router doesn't look too busy.
Nevertheless, I tried to cure each computer with HijackThis for the mpn.exe key. I halted all mpn.exe processes in the taskmanager (sometimes one occurrence, sometimes two). Then, I shift+Deleted the mpn.exe in the System32 directory and any U.exe file.
A few minutes later, they are all back: in the registry, in the taskmanager and in the System32 directory.
I tried to reboot the computers just after the cleaning. They are always back with that #@%!!$@ mpn.exe
There must be some kind of zombie on the LAN waiting for infecting other computers.
Because we must be back to business next monday, I'm afraid I won't be able to solve the problem by myself, even with your invaluable help. I need a professional with hands on my LAN.
One more time, many, many thanks for your help.