Captain Cook - part 2

The transcript describes a historical voyage starting from Tahiti to England with an Islander. The journey continues with an exploration for a northwest passage, leading to the discovery of the Hawaiian Islands. The explorers name an archipelago the Sandwich Islands after the Earl of Sandwich. They then explore the West Coast of America, searching for a passage to the Atlantic, but eventually return to Hawaii.

What challenges did the explorers face in finding a passage to the Atlantic?

What was the final destination of the voyage before turning south?