After some step-by-step elemination tests I am sure that it was 'fallow the path' object that causes the problem in my case. Still I wonder why it is working fine in OpenGL - if it would be about bad geometry this should crash too, shouldn't it?
It looks like lightworks cannot handle some corrupted/invalid poligon objects in its calculation, black screen is just background without model.
Another thing is that when I save my modeling as a *.gsm and reset the scene I'm able to render again but lightworks makes it completly 'flat' without basic features like reflection -
If somebody can put some light on it I'll be grateful.
Greetings