Hebrews shows the superiority of Jesus Christ over all other humans. It shows that what He says is more important than any other human, prophet, or spirit. It shows His priesthood as being superior to that of Aaron. It shows the deity and humanity of Jesus. It shows His ministry, His gospel, His promised rest. It shows the importance of faith in Jesus as being superior to the Law of Moses. It shows His covenant/agreement is superior to the Old Covenant (Old Testament). It shows that the heavenly Tabernacle/Temple where Jesus ministers as High Priest is superior to any earthly Tabernacle/Temple. It shows that the sacrifice of Him is superior to any animal sacrifice. Jesus’s sacrifice and the pouring out of His blood cleanses sin and conscience. It shows that His one-time sacrifice is superior to Mosaic Law sacrifices which must be repeated. It shows the fullness of His redemption which allows anyone who is saved by grace alone through faith alone in Jesus Christ alone can come to God’s Holy of Holies to pray, worship, and offer sacrifices of praise. It shows the superiority of faith over works. It shows the superiority of His teaching, His encouragement, His loyalty. It shows the superiority of this everlasting covenant for this High Priest, Jesus Christ, never changes.
My translation and notes of Hebrews 1:1-4
1 God, who in times past spoke via the prophets to the fathers at various times and in various ways,
[God desires to redeem what was cursed (1 Timothy 2:4 and 2 Peter 3:9). He promised the messiah to Eve (Genesis 3:15). Because of our addiction to sin (Galatians 3:22) and the curse because of sin (Ephesians 2:3 and 2 Peter 2:14), humans have a skewered knowledge of God. God wishes to have the truth of himself known. This He did through the prophets and prophetesses. Compare Luke 1:77 and Acts 26:17-18. God gave the message. The prophets preached this message to the people].
2 Has in these last days spoken to us by [His] Son, whom he has appointed heir of all things and through whom he made the worlds.
[When Jesus walked the earth and teaching people the truth about God. He was telling the truth perfectly because He was, is, and always will be THE truth. See John 14:6 and 1 John 5:20].
3 [The Son], being the brilliant shining of [His] glory and of the same essence, and maintaining everything by his powerful word, after—by himself—making purification of our sins, sat down at the right hand of the Majesty of high,
4 Being so much better than the angels as he has inherited a more excellent name than they.
[The main Christological Texts in the NT are John 1, Colossians 1, Philippians 2, and Hebrews 1. The idea of ‘inherit’ is better understood by reading Mark 12:1-12, Romans 8:17-18, Galatians 3:29, Galatians 4:7. TDNTa adds: In the parable inheritance does not yet denote actual possession; only the risen Lord enters upon this (Matthew 28:18). Inheritance is expressly linked with the kingdom in Matthew 21:43; this frees it from earthly limitations and equates it with the new world of God’s sovereign rule].