Final answer:
The counterclaim addressed by the speaker in paragraph 6 is that there is cause for alarm at the fate of the country with Kamehameha III's death, which is rebutted by highlighting the continued protection efforts for Hawaiian sovereignty and people.
Step-by-step explanation:
The speaker anticipates and rebuts the counterclaim that there is cause for alarm at the fate of the country now that Kamehameha III is dead in paragraph 6. By providing historical context that outlines the sovereignty issues and the actions taken by subsequent Hawaiian rulers and native inhabitants, the speaker aims to reassure the audience that despite the death of Kamehameha III, efforts to protect the Hawaiian kingdom and its people have been ongoing. The leadership provided by figures such as Queen Liliuokalani and the resistance offered against the encroachment of foreign powers and business interests, demonstrate a resilience and continuity that counters the narrative of impending doom following Kamehameha III's passing.