Which event influenced the Mexican War of Independence?

In the early 19th century, Napoleon's occupation of Spain led to the outbreak of revolts all across Spanish America. Miguel Hidalgo y Costilla—“the father of Mexican independence”—launched the Mexican rebellion with his “Cry of Dolores,” and his populist army came close to capturing the Mexican capital.

Ibelieve the answer is  battle of saratoga but i could be wrong

Correct textbook answers would be 1,3, and 5