Really? Give me at least two commandments that are new.
First, let's be clear what it means to be under the covenant of condemnation and death.
All covenants, agreements, have obligations, the first party will promise to work and the second will agree to pay, for example.
In the Covenant of Law, Israel agreed to obey all the 613 commandments of the agreement. In turn God promised to bless Israel.
Of course, the agreement also included all the penalties that would have to be suffered if either party failed to meet its obligations. If Israel failed, she would be cursed. If God failed, He would lose His claim to be God (obviously, because the definition of God is the One who can do anything, all things are possible with God).
Israel could not fulfil her obligations and was cursed. She was bitter and turned to idol worship. However, it was her fault. Scripture says her act in asking for a contract was like Sarah trying to become a mother through self effort. She had tried to become a blessing to the world through self effort, just as Sarah had tried to become a mother through self effort. The results brought suffering to both Sarah and Israel.
Her idol worship would have led to her extermination, like Sodom and Gomorrah, but for the remnant, a part of Israel that did not bow their knee to idol worship, Baal. They confessed they were sinners and asked for forgiveness. They received justification, confirmation that they were found righteous. For their sake, Israel was not destroyed. However, Israel remained under the curse. She never entered rest. God swore Israel would never enter rest. Even Joshua, who was loyal to God, never followed other gods, never brought Israel into rest, never saw God's promise, to make Abraham's Seed a blessing to the world, become a reality. That is why those under the Covenant of law were condemned (they were found not compliant) and died (did not become blessings to the world).
Only those who came under the covenant of grace saw God's promise fulfilled. He promised to make Abraham's Seed a blessing to the world, by making Him the real Promised Land, of which Canaan was only a foreshadow. He brought His real People, spiritual Israel, of which Abraham was the father, being the father of all who had faith in God, to the true rest, into which they could enter by hearing with faith.
What is rest? It is enjoying the priviliges of a family, eating without paying, buying without money.
We have already stated what the terms and conditions of the Covenant of Law was.
These then are the obligations of the Covenant of Grace. God's People promised to obey all the commandments of the new covenant. God, in turn promised to truly bless them, bring His People into rest.
The difference between Ishmael and Isaac was that the result of human effort, Ishmael, was a son born into slavery. Whereas the result of divine fulfillment to a promise, from just waiting for God's promise to become true, hearing with faith, was Isaac, a son born into the master's family, receiving all that the Master possessed.
How did a son born as a result of God's promise into the master's family receive the inheritance? By confirming he was truly a son of promise. He had to avoid using human effort and wait for the promise of God, that He would bless the person who had faith, just as He blessed Abraham, who was the father, the role model, the prototype, the blueprint, the cast from which every person who had faith was molded. The only thing he had to do was to believe, hear with faith. If he believed, there was nothing to prevent him from being baptised, from being cleansed by the word Christ speaks to all who believe He is the Messiah, the anointed One, who saves the world from its sins, by making acceptable, clean, able to enter the assembly of God's People, recognised as a son who was lost, and has now come back. This recognition confirmed by the indwelling of the Holy Spirit, a deposit, a guarantee of a future gift of the inheritance, if he indeed had the Holy Spirit of Christ in Him. Because if he did indeed have the Holy Spirit, he would manifest His fruit, love joy peace gentleness and self control.
Now all he had to do to receive the inheritance was to complete as he had started, by hearing with faith. By hearing with faith that those who believed Christ was the Savior, he had become a son of God, was acceptable for baptism, a marking signifying that acceptance. Now by hearing with faith, believing that God would give him the inheritance due to a son, would give him a share in Christ, make him a blessing to the world, he would receive the inheritance, was acceptable for remaining in Christ, towards becoming a blessing to the world.
Obligations of the people: to hear with faith.
Obligations of God: to cleanse with the word the Body of Christ speaks, towards being baptised, marking as sons and daughters of God.
Further, they had to continue in hearing with faith.
God's obligation was to fulfill what they believed: that they would have a part in Christ, if they allowed Him to wash their feet, through the words His body speaks, to present them to God, blameless and clean, through the sufficiency of His grace.
Summary
Baptism, entry into God's People, is given to those who hear with faith, that Jesus is Lord,it is He who saves, not mammon.
A share in Christ, receiving of the inheritance, efficient grace, is given to those who hear with faith, who believe that if we confess our sins, He is faithful and just to forgive us and the blood of his son Jesus cleanses us of all unrighteousness.
Conclusion
We can conclude, then, that the commandments of Christ, new and not found in Torah, are to believe unto receiving baptism/recognition/acceptance into God's People, His Chosen who lead mankind out of sin, and continue to believe, unto receiving ordination/commissioning/enlisting into Christ's inheritance, who lead mankind into God's rest.