Where did Pedro de Alvarado die?

Answer 1

he died fighting off an indian uprising, most likely one he started

Not strictly correct, de Alvarado was about to sail on an expedition to China and the Spice Islands, when he received a letter from Cristóbal de Oñate, who was facing an Indian uprising. On his way there he was crushed by his horse which was spooked by something and ran amok. He died four days later and was buried in the church at Tiripetio, a village between Patzcuaro and Morelia (in present-day Michoacán).