Short answers, pulled from the story.
The All-India Muslim League was founded in Dhaka during the annual session of the All-India Muslim Education Conference in December 1906. Khwaja Salimullah, the Nawab of Dacca, proposed creating this new political party at Ahsan Manzil Palace to secure political interests for Muslims within British rule.
Sultan Muhammad Shah known as Aga Khan III became the first honorary president of the All-India Muslim League though he did not attend the inaugural session. The League's constitution was written by Mohammad Ali Jauhar and published in what became known as the Green Book.
On February 23rd Morley told the House of Lords that Muslims demanded separate representation which was accepted marking the League's first major victory. By the 12th of September 1909 the central committee once again demanded separate electorates and more representation before the Aga Khan compromised so that Muslims would have two additional reserved seats in the Imperial Council.
At a League conference held in Lahore on the 23rd of March 1940 the Muslim League formally recommitted itself to creating an independent Muslim state. This new state would include Sindh Punjab Baluchistan the North West Frontier Province and Bengal while being wholly autonomous and sovereign.
In the Indian provincial elections of 1946 the Muslim League won four hundred twenty-five out of four hundred seventy-six seats reserved for Muslims. They secured approximately eighty-nine point two percent of Muslim votes on a policy of creating Pakistan despite Congress leaders including Gandhi and Nehru remaining adamantly opposed to dividing India.
After the partition of India in 1947 the All-India Muslim League was formally disbanded within the new nation of India. It was succeeded by the Indian Union Muslim League which continues to have a presence in the Indian Parliament today with four members serving as part of the United Progressive Alliance at national level.