Chris covered the Eldritch stuff, but as for the goons - I agree, new paperdolls would be nice. I was fully occupied with working on Lily's event this week, but if I find some time over the next few updates I'll make some more "relaxed" goon paperdolls :)
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Eldritch will take over districts when you take over districts and only then (each district you take is tied to specific districts on the Edlritch side). It's part of the story, and not possible to mess up or miss any content :)
Eg. Conquering the park will always trigger the Eldritch to conquer the Bar in return, and players can't move to the east side of town until they've conquered the west, so there's no chance of conquering the Bar before the Eldritch get to it.
Hope that helps clear things up!