Switching to software or DirectDraw mode doesn't help except for there is a msgbox containing "invalid floating point operation" error.
I also tried to unset read-only flags. That helped me with Janus, but the other quests crash anyway.
Also I have encountered a new kind of crash: crashing when fighting certain bosses. E.g. orc leader in the camp or El Shrimpo. Seems something's wrong with their blows animation or smth. else. I have avoided the orc warboss bug eventually by pure luck: I have stunned him and killed before he could hit me.
I'll try the file verification procedure and report later. Thank you for your assistance.