Which Bible excerpts confirm the Son of God through proclamation or declaration, begotten, established or chosen, adopted, revealed, or eternal?
Proclamation or declaration, begotten, established and or chosen at a particular time, adopted, revealed to another, or eternal.
1. 2 Samuel 7:14-15 & Psalms 2:7
2. Romans 1:3 & Acts 2:36
4. Luke 2:26-35
5. John 1:1-18 (and a variation of the concept in: Colossians 1:15-20 and 2:9-10)
The Tanach (Jewish writings including Torah, Prophets and Hagiographa, also called the Old Testament) predicts a Son of God who will be recognized as eternal, begotten and established, whose name will be called "Wonderful, Counsellor, Mighty God, Everlasting Father, Prince of Peace" (Isaiah 9:6). The Gospels and Epistles, Acts and Revelation (also know as the New Testament) confirms Jesus of Nazareth as the established, begotten, eternal Son of God. The excerpts and verses you have listed are from both the Old and the New Testaments and prove each of the possibilities you list.
The idea of "adopted" might be seen as contradictory when placed next to "begotten," but the context of II Samuel 7, where the concept is found in 14-15, makes it clear that Nathan is conveying a prophetic message in which God is addressing David and speaking of David's genetic descendants. So in this context, adopted (the adopted ancestor of David) doesn't contradict "begotten," as even an adopted son is begotten by someone. II Samuel 7:12-15 predicts an adopted Son of God, chosen at a particular time: "12 I will set up thy seed after thee. ... 14 I will be his father, and he shall be my son." Psalm 2:7 predicts a begotten Son of God: '"7b You are My Son, / Today I have begotten You."'
Moving to the New Testament, Romans 1:1-4 confirms an adopted Son of God (1:3) as per II Samuel 7:12-14 and the declared Son of God (1:4):
1b unto the gospel of God, 2 which [God] promised afore through his prophets in the holy scriptures, 3 concerning his Son, who was born of the seed of David according to the flesh, 4 who was declared to be the Son of God with power, according to the spirit of holiness, by the resurrection from the dead; even Jesus Christ our Lord,
And Acts 2:32-36 confirms an established Son of God:
32 This Jesus God raised up again, to which we are all witnesses. ... 36b know for certain that God has made Him both Lord and Christ—
Mark 1:11 confirms a begotten and proclaimed Son of God as God Himself speaks from heaven: 'a voice came out of the heavens: “You are My beloved Son, in You I am well-pleased.”' In Luke 2;34, the righteous Simeon indirectly confirms the adopted status of the Son of God by acknowledging his earthly birth and his appointed, or established, status.
The Gospel of John is far more complex and 1:1-18 provides much information. In John, the eternal Word is equated with Life, and Life is equated with Light, and John the Baptist is identified as the one who testifies to the authenticity of the Light, confirming the Son of God as revealed to another. The Light is identified as (1) being alive in the world, (2) the one who made the world (v.10), as the giver of the right to be children of God (v.12), (3) as born of God, not of flesh (v.13), and (4) as the Word made flesh (v.14); remember that verse 4 equates the Word with the Light. Finally, verses 17 and 18 confirm both the eternal nature and the begotten status of the Son of God. The eternal nature is further confirmed in Colossians 1:15-20 while 2:9-10 confirms the eternal and the begotten nature of the Son of God.