The correct answer is option 1: Honshu.

Option 2: Hokkaido is not the correct answer. While Hokkaido is the second-largest island in Japan, it is not the largest.

Option 3: Shikoku is also not the correct answer. Shikoku is the smallest of the four major islands in Japan, so it cannot be the largest.

Option 4: Kyushu is also not the correct answer. Kyushu is the third-largest island in Japan, so it is not the largest.

Therefore, the biggest island in the Japan archipelago is Honshu. Honshu is the largest and most populous island in Japan, housing major cities such as Tokyo, Osaka, and Kyoto. It is located in the central part of the archipelago and is known for its diverse landscapes and cultural landmarks.