War of the Ring: Kings of Middle-earth

The Free Peoples Ruler die is added in the turn after the first Sovereign is awakened; the Shadow Ruler die is added in the turn after the first Dark Chieftain enters play. If your pool includes your Ruler die, you must discard one die after the Action Roll—the Shadow player chooses first, then the Free Peoples player (p. 6).

Only if the Free Peoples player has at least one unused Action die and there is more than one Eye in the Hunt box. The Shadow player removes one Eye, then draws tiles equal to the Eyes remaining, up to three, and places one chosen tile face down on an eligible Sovereign (p. 11).

Reveal it and add it to that Sovereign immediately; it counts as 0 Corruption, and no more tiles are drawn for that attempt. Return any other tiles drawn in the attempt to the Hunt Pool (p. 12).

Yes. A non-Awakened, non-Corrupted Sovereign can be awakened using the action on their Awakened card; any Corruption tiles on them are returned to the Hunt Pool, and they cannot be corrupted once awakened (pp. 10–11).

A Corrupted Sovereign is not affected by battles. With an appropriate Companion in the same region, the Free Peoples player can spend a Character Action die to remove them; this is the only way apart from Event card effects (p. 13).