Short answers, pulled from the story.
Miran Shah, full name Mirza Jalal-ud-din Miran Shah Beg, was the third son of Timur, the Central Asian conqueror who founded the Timurid Empire. Born in 1366, his mother was Mengli Khatun, a concubine of Timur from the Jauni Qurban tribe.
Timur deposed Miran Shah in 1399 after receiving reports of destructive behaviour, including ordering ancient buildings demolished, gambling inside mosques, and scattering gold coins from palace windows. His wife Khanzada Begum also reported his rebellious intentions and mistreatment of her directly to Timur, and Miran Shah had failed to capture the fortress of Alinja from the Jalairid Sultanate.
Miran Shah was killed on the 20th of April 1408 at the Battle of Sardrud, where his forces attempted to retake Tabriz from Qara Yusuf of the Black Sheep Turkomans. He was struck down by a Turkoman chief who did not recognise him and stripped his body before realising who he had killed. Qara Yusuf then had his head impaled before the walls of Tabriz.
Miran Shah was buried in the Gur-e-Amir in Samarqand, the same mausoleum as his father Timur. His head and body were sent to Shah Rukh, who had won the Timurid succession war, following the battle.
In 1394, Miran Shah was sent by Timur to arrest Fazlallah Astarabadi al-Hurufi, the founder of the Sufi Hurufi sect, who by legend was executed by Miran Shah personally. In response, the sect's followers designated Miran Shah the Dajjal, the Islamic equivalent of the Antichrist, and mocked him with the name Maran Shah, meaning King of Snakes.
Miran Shah's grandson Abu Sa'id Mirza ruled much of Transoxiana in the latter half of the 15th century. Abu Sa'id's own grandson was Babur, who founded the Mughal Empire in India, making Miran Shah a direct ancestor of the Mughal dynasty.