Which Bible excerpts confirm the Son of God through proclamation or declaration, begotten, established or chosen, adopted, revealed, or eternal?...

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.