By the way, here's an interesting challenge. We could try to calculate the number of battle maps. I'll also try to figure out what the starting value of R depends on. It seems that the luck and morale mechanics in HoMM I are similar to those in Heroes 2, but only in the sense that in "Heroes 2," the battle unfolds in a predetermined way, while in the first game, the player can choose from several (how many is still a mystery) options!
Answer to the fifth question: definitely not.