The history of the present king of great britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute tyranny over these states.

in the passage above, to what does the word usurpations refer?

appropriations
judgments
illnesses
demands

The answer is not Demands, it is not Judgment leaning only Appropriation & Illnesses.

"The history of the present king of Great Britain is a history repeated Injuries and Appropriation." This does not make sense and considering the last word was "Injuries" Gives a clue of what it could be

The Illnesses

i agree definitely that

ah, shun the horrid gulf! by scylla fly.