Short answers, pulled from the story.
The Church of the Holy Sepulchre was consecrated on the 13th of September 335. Emperor Constantine the Great ordered a pagan temple to be torn down in 326 to replace it with this Christian church.
Fatimid caliph al-Hakim bi-Amr Allah ordered the complete destruction of the Church of the Holy Sepulchre on the 18th of October 1009. The damage was extensive and left few parts of the early church remaining.
Primary custodians include Roman Catholic, Greek Orthodox and Armenian Apostolic churches. The Greek Orthodox act through their Patriarchate as well as through the Brotherhood of the Holy Sepulchre while Roman Catholics operate via the Franciscan Custody of the Holy Land.
A restoration of the Aedicule executed from May 2016 to March 2017 declared the visibly deteriorating structure unsafe by Israel Antiquities Authority. On the 26th of October 2016 marble cladding protecting the supposed burial bed was removed for the first time since at least 1555 revealing an intact original limestone burial bed.
The rebuilt church site was taken from the Fatimids by knights of the First Crusade on the 15th of July 1099. Crusaders began refurnishing the church in Romanesque style and added a bell tower before completing renovations during Queen Melisende's reign in 1149.