Short answers, pulled from the story.
King Wareru established the Hanthawaddy kingdom in 1287 after the collapse of the Pagan kingdom. This new polity ruled lower Burma as a nominal vassal state of both the Sukhothai kingdom and the Mongol Yuan dynasty.
The energetic reign of King Razadarit began in 1384 and he firmly unified the three Mon-speaking regions including Myaungmya, Donwun, and Martaban. He successfully fended off the Ava kingdom throughout the Forty Years' War which lasted from 1385 to 1424.
A string of gifted monarchs ruled during this period including Binnya Ran I, Shin Sawbu, Dhammazedi, and Binnya Ran II. Merchants traded with traders from across the Indian Ocean filling the king's treasury with gold and silver while the kingdom became a famous centre of Theravada Buddhism.
Taungoo captured Bago and the Irrawaddy Delta in 1538 and 1539. They took Mottama in 1541 before Bayinnaung defeated the rebellion in March 1552.
Hanthawaddy briefly revived in 1550 after Tabinshwehti was assassinated but this restored kingdom did not extend much outside the city of Bago. Bayinnaung quickly defeated the rebellion in March 1552 ending the brief revival.