Here is a brief update:
Of course I checked all the bullet point in altenbach's message. I was taking care to avoid any interference from other software or background processes as far as you can do that on a Windows system. I had been doing that long before. It was all pointless. It just remained to be unpredictable.
It is funny what cured the error for the moment: I installed CorelGraphics X6 on the computer and the issue is gone. I can now do what I want, run many programs, video, etc. My Labview program runs flawlessly stable. I can even run number crunching FEA software in parallel, that drives the CPU close to 100%. Corel doesn't need to run, but in can run in parallel.
Looks like this installation has repaired something. Weird! Best thing is: it was the Corel test version, so the cure was for free.
Cheers
Edgar