The ninth stage of the Kanigem Tournaments

Just replay Iron's turn management, and see how the hero's movement range changes when you add different units.

I agree. If the question is simple, it's more useful to figure it out yourself - it's more visual and easier to remember.

I think I'll have a lot of these questions (can I ask them here?) and in general, can I ask them?

How would I know? We're not from around here...

1. Why did you take the Squire to the Castle, then to the trough, then gave him to the heroes to send him to his death? Does this somehow increase the heroes' movement range?

I assume we're talking about Iron's playthrough. Which I haven't even seen yet :)
The hero's movement range is determined by the movement range of the fastest unit in the army (if it's faster than the hero). Thus, by adding a "sped up" unit to the hero, we get a certain increase in movement range.
If the terrain allows, it's better to move with such a slow hero and sped-up units until the turn ends. Then, "conserve" him in a Necropolis, drag him through all the speed-boosting locations, and revive him again in the company of the same sped-up units.

Damn, there are such intricate moves!!!

Zhel, I think, would agree - it's a matter of habit, they are performed automatically.