Hmm, interesting... But there are some questions:

4) Players choose the map themselves, but the victory condition must be standard.

So, does that mean the players generate the map themselves?
Maybe it would be better if the tournament organizer generated the map and gave the players a save file to start from?
In my opinion, that would be much better, although it would, of course, increase the workload for the host.

A redeemed hero (after escaping or paying a ransom) is prohibited from attacking the opponent (whether a human or the computer) during the turn of the redemption. Moving with such a hero is allowed.

Hmm, in our offline tournaments on the portal, it is forbidden to move with such a hero; I think it would be better to apply this rule to online tournaments as well.
What do you think?

When entering the Demon Cave, a battle is mandatory.

Hmm, is Demon Cave the "Demon's Lair"?
If so, maybe you could just prohibit entering it?
So, it would be like this:

• It is forbidden to visit abandoned ships, cemeteries, Demon Cave, and sphinxes.

It is forbidden to visit pyramids.

May I ask a question? Why?

By the way, is it possible to hire ghosts?