What historical events is roosevelt referencing when he mentions cuba panama and chine?

The Venezuela Crisis of 1902-1903.

Explanation:

The Panama crisis a naval blockade carried out by Germany, UK and Italy. It lasted from December 1902 to February 1903. The blockade was carried out because President Cipriano castro has refused to pay foreign debts caused by Venezuelan civil wars.

During the State of Union address in 1904, Theodore Roosevelt announced that US would intervene in the any conflicts between Latin American and European powers instead of allowing the Europeans to make direct claims as it could be a threat to US security.

He said that according to Monroe doctrine he was justified to exercise international police power to end the wrongdoings and unrest in Western Hemisphere.