Can a Warrior of the Dead be supported by another model with a spear, such as a Warrior of Minas Tirith?

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"There are few left in Middle Earth like Aragorn, son of Arathorn." - Gandalf, Many Meetings

I don't see why not? The dead count as having hand wapons even if they're modeled with spears, (iirc) but that does not stop you from supporting them with spearmen.

^this seems correct.

That's a good question.
Technically, I think a "living warrior" could support a Warrior of the Dead in combat. I've never seen a rule stating otherwise.
I think a good house rule would be to roll courage to see if the living warrior would be brave enough to do it.
That would seem logical. I know Banner of the Dead may not be used by the living... because of the fear of the dead. That is stated in the rules.