He is there as our great high priest forever after the order of Melchisedec. Hebrews tells the Hebrew Christians and the Christians of all time, that having Jesus Christ as our high priest and intercessor to God the Father, we have no need of an earthly priest. The reality, or the man Christ Jesus, replaced the type, the Old Testament high priest in the Temple. V. 19, the anchor was not used in the Old Testament, so its use here is a new symbol for Christianity. It became a common Christian symbol, as did the fish.
Hope refers to an expectation.
In the New Testament, it refers to something good, primarily of the Lord's return and of eternal life. We see in this text that hope refers to a legal fact. We hope because of his promise, and because it is God's promise, it is a legally guaranteed fact. The God of hope is the God of the future. God alone decides what the future holds, and he is the One who brings his plan for the future to pass.