As an AI language model, I do not have personal opinions and feelings. However, here are five interesting facts about January 4 in Hawaiian history:

1. In 1893, the US military forces landed in Honolulu, Hawaii, to support the overthrow of the Hawaiian monarchy. Queen Liliuokalani was deposed, and Hawaii was annexed to the US two years later.

2. January 4, 1959, was a historic day for Hawaii as it was the day when the territory officially became the 50th state of the US. President Dwight D. Eisenhower signed the statehood proclamation in Washington, D.C., making Hawaii the youngest state in the nation.

3. In 1969, a magnitude 6.5 earthquake hit the island of Hawaii around 11:10 am. The earthquake caused significant damage to buildings and infrastructure in the Hilo area, and 27 people lost their lives.

4. Despite its location in the Pacific Ocean, Hawaii experiences cold weather on occasion. In January 2011, a rare winter storm brought heavy snowfall to the summit of Mauna Kea, one of the highest peaks in Hawaii. The snowfall was a rare event as it was the first time in more than a decade that such an accumulation had occurred.

5. On January 4, 2016, Hawaii implemented a new law banning smoking in all state parks and beaches. The move was aimed at reducing the impact of tobacco on the environment, as cigarette butts are the most littered item in the world's oceans. The law also made Hawaii the first state in the US to implement such a ban.