which were some other forces that take part in this battle?
The Meiji government and the shōgun's navy under Enomoto Takeaki.
Imperial Japanese Navy
Enomoto Takeaki, the admiral of the "shōgun"s navy, refused to surrender all his ships, remitting just four vessels, and escaped to northern Honshū with the remnants of the "shōgun"s navy: eight steam warships and 2,000 men. Following the defeat of pro-shogunate resistance on Honshū, Admiral Enomoto Takeaki fled to Hokkaidō, where he established the breakaway Republic of Ezo (27 January 1869). The new Meiji government dispatched a military force to defeat the rebels, culminating with the Naval Battle of Hakodate in May 1869. 
what is the battle of the coral sea? A naval battle of 1942. which countries were involved in this? Japan versus the United States and Australia. which force conducted a morning strike during this battle? The Japanese. when did this country's naval forces originate? In 1868. which was the first war it take place in? The Naval Battle of Hakodate . when did this battle occur? May 1869.
wiki:11744306
Imperial Japanese Navy [SEP] Boshin War
On 26 March 1868 the first naval review in Japan took place in Osaka Bay, with six ships from the private domain navies of Saga, Chōshū, Satsuma, Kurume, Kumamoto and Hiroshima participating. The total tonnage of these ships was 2,252 tons, which was far smaller than the tonnage of the single foreign vessel (from the French Navy) that also participated. The following year, in July 1869, the Imperial Japanese Navy was formally established, two months after the last combat of the Boshin War. Enomoto Takeaki, the admiral of the "shōgun"s navy, refused to surrender all his ships, remitting just four vessels, and escaped to northern Honshū with the remnants of the "shōgun"s navy: eight steam warships and 2,000 men.