The key events in the rise of Islam according to the document are: 1) The Hijrah in 622 CE where Muhammad and his followers fled Mecca to escape an assassination plot and settled in Medina, marking the start of the Muslim calendar. 2) The Treaty of Hudaybiyyah in 628 CE between Muhammad and the Quraysh which allowed Muslims to perform pilgrimages in Mecca after being previously barred. 3) The Quraysh's eventual surrender to Muhammad leading to non-Muslims in Mecca being allowed to choose whether to follow Muhammad or the Quraysh without repercussions.