2 Sam. 7:16; Psalm 89:3-4; 1 Chron.17:12,14 - God promises to establish the Davidic kingdom forever on earth.
Matt. 1:1 - Matthew clearly establishes this tie of David to Jesus. Jesus is the new King of the new House of David, and the King will assign a chief steward to rule over the house while the King is in heaven.
Luke 1:32 - the archangel Gabriel announces to Mary that her Son would be given "the throne of His father David."
Matt. 16:19 - Jesus gives Peter the "keys of the kingdom of heaven." While most Protestants argue that the kingdom of heaven Jesus was talking about is the eternal state of glory (as if Peter is up in heaven letting people in), the kingdom of heaven Jesus is speaking of actually refers to the Church on earth. In using the term "keys," Jesus was referencing Isaiah 22 (which is the only place in the Bible where keys are used in the context of a kingdom).
Isaiah 22:22 - in the old Davidic kingdom, there were royal ministers who conducted the liturgical worship and bound the people in teaching and doctrine. But there was also a Prime Minister or chief steward of the kingdom who held the keys. Jesus gives Peter these keys to His earthly kingdom, the Church. This representative has decision-making authority over the people - when he shuts, no one opens. See also Job 12:14.
Rev. 1:18; 3:7; 9:1; 20:1 - Jesus' "keys" undeniably represent authority. By using the word "keys," Jesus gives Peter authority on earth over the new Davidic kingdom, and this was not seriously questioned by anyone until the Protestant reformation 1,500 years later after Peters investiture.
Matt. 16:19 - whatever Peter binds or looses on earth is bound or loosed in heaven / when the Prime Minister to the King opens, no one shuts. This "binding and loosing" authority allows the keeper of the keys to establish "halakah," or rules of conduct for the members of the kingdom he serves. Peter's "keys" fit into the "gates" of Hades which also represent Peters pastoral authority over souls.
Matt. 23:2-4 - the "binding and loosing" terminology used by Jesus was understood by the Jewish people. For example, Jesus said that the Pharisees "bind" heavy burdens but won't move ("loose") them with their fingers. Peter and the apostles have the new binding and loosing authority over the Church of the New Covenant.
Kudos ;-)