OK, I'm slightly boggled. . .are there presently some unanswered questions?

Here are mine. . .
What four U.S. states share the same geographical point?
Of the lower 48 states in the U.S., which has the most northern point?
What country claims land closest to the North Pole? (state the Lat of that point, for this I'll permit googling)
What country maintains the most southernmost landmass free and clear of any treaty (e.g. the Antarctic treaty)?

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Keeper of the Jabberwock