Did Jesus Die on The Cross for The Just/Elect/Saved Whose Names Are Written in The Book of Life OR

Just to continue my prior reply a little further, the "bondage" (above) represents being under the bondage of law for salvation, whereas,
the "free" (above) represents salvation solely by God's mercy and grace and being free of law; that is, nothing whatsoever is required from/by those given salvation - it is a free gift. So, the entire gospel message is encapsulated within/by the verses above.

The New Testament Law is still Binding.

Not exactly sure which law(s) you have in mind? As far as salvation is concerned, nothing matters but that God has chosen an individual to salvation - for them, salvation is completely free - because it was by Christ alone that they were/are justified. After salvation, however, God expects and even demands, that those whom He has saved conduct themselves in a God glorifying manner, but neither will their salvation be affected should they fall short of that.

All the New Testament Law is still Binding.

Binding in what regard?

The New Testament Law is Binding in regard to salvation.

All the New Testament Laws of Christ are binding on everyone.

Nope. Not as far as being saved is concerned.

Correct 😉 Paul differentiated between the seed that came through jacob, the seed of promise who are the children of israel, the vessels of mercy and the children of esau who were the edomites that christ singled out as the race of vipers who the blood of all the prophets from righteous abel to zacharius was ascribed to them and their seed, the vessels of destruction

Obidiah 1:15-18
15“For the day of the Lord upon all the nations is near;
As you have done, it shall be done to you;
Your [g]reprisal shall return upon your own head.
16For as you drank on My holy mountain,
So shall all the nations drink continually;
Yes, they shall drink, and swallow,
And they shall be as though they had never been.
Israel’s Final Triumph
17“But on Mount Zion there shall be [h]deliverance,
And there shall be holiness;
The house of Jacob shall possess their possessions.
18The house of Jacob shall be a fire,
And the house of Joseph a flame;
But the house of Esau shall be stubble;
They shall kindle them and devour them,
And no survivor shall remain of the house of Esau,”
For the Lord has spoken.

Matthew 23:29-36
“29 Woe to you, scribes and Pharisees, hypocrites! Because you build the tombs of the prophets and adorn the monuments of the righteous, 30 and you say ‘If we were in the days of our fathers, we would not have been their partners in the blood of the prophets!' 31 Thusly you bear witness against yourselves, that you are sons of those who murdered the prophets, 32 and you shall fulfill the measure of your fathers! 33 Serpents! Race of vipers! How could you escape from the judgment of Gehenna?

“34 For this reason, behold! I send to you prophets and wise men and scribes. Some of them you shall kill and crucify, and some of them you shall flog in your assembly halls and persecute from city to city! 35 Thusly should come upon you all the righteous blood poured out upon the earth, from the blood of the righteous Abel unto the blood of Zacharios who had been murdered between the temple and the altar. 36 Truly I say to you, all these things shall come upon this race!

Consequently, it was these children of Esau who had had been forcibly converted to judaism by king john hyrcanus in 135-105bc who had seized power from king herod to the priesthood in judea, wicked pharisees and saduccees who were responsible for the crucifying of our King. Upon the return of the King of Kings will obidiah 1:18 be fulfilled in the power and the glory thereof.

Genesis 25:23
23And the LORD said unto her, Two nations are in thy womb, and two manner of people shall be separated from thy bowels; and the one people shall be stronger than the otherpeople; and the elder shall serve the younger.

All the New Testament Laws of Christ are binding on everyone.

All the New Testament Laws of Christ are binding on everyone.

There are only two laws of significance regarding salvation: the law of sin and death, of which, all who come into
this world are automatically under, and the law of the Spirit of life in Christ Jesus. Those whom God has chosen to salvation, as part of their salvation, are taken from the law of sin and death and placed by Him under the law of the Spirit of life in Christ Jesus.
No other laws pertain to being saved.

[Rom 8:2 KJV] 2 For the law of the Spirit of life in Christ Jesus hath made me free from the law of sin and death.

Please name a specific New Testament Law you believe is not necessary to obey.

None of them have to be obeyed to become saved.

Please name a specific New Testament Law you believe is not necessary to obey.

For those who believe The New Testament Law isn't necessary to obey, please name a specific New Testament Law you believe is not necessary to obey.

Answered that above I think. I don't know any other way to say it - the obeying of law does make someone become saved, either does the disobeying of law eliminate someone from becoming saved. We are saved solely by what Christ did, not by what we may or may not do.

who you directing this to ?