The New Testament is vastly different than the Old testament as far as doctrine goes. It is called the Mosaic covenant simply because the 613 commands of that covenant were given by God to Moses! Just like we call the covenant in Eden the Adamic Covenant because it was a covenant God made with Adam!
Of course God has taught one thing at one time and another at another time! The people of God in the New TEstament are nos under the dietary restrictions God commanded Israel to live by.
We no longer stone adulterers and adulteresses! and many more.
All Scripute is equally inspired, but all SCripure is not equally applicable.!
The differences between the old and the new covenants mostly are specified in scripture: Better because the mediator, moderator or administrator is Jesus Christ and not Moses who was not allowed to enter the promised land. Other differences is a new priesthood starting with Christ and the twelve apostles; where God writes the Law on the participants heart whereas in the old covenant the people had to write the Law on their own heart; with the new covenant, the consequences of the fathers sins are no longer perpetuated for three generations.
In the OT when referring to the covenant, the words law (ten commandments) and covenant are interchangeable
Matthew 10:5-7 (NKJV)
5 These twelve Jesus sent out and commanded them, saying: "Do not go into the way of the Gentiles, and do not enter a city of the Samaritans.
6 But go rather to the lost sheep of the house of Israel.
7 And as you go, preach, saying, 'The kingdom of heaven is at hand.'
Matthew 15:24 (NKJV)
24 But He answered and said, "I was not sent except to the lost sheep of the house of Israel."
Jeremiah 31:31 (NKJV)
31 "Behold, the days are coming, says the LORD, when I will make a new covenant with the house of Israel and with the house of Judah--
The new covenant was made with the lost sheep of Israel.
Matthew 5:17 (NKJV)
17 "Do not think that I came to destroy the Law or the Prophets. I did not come to destroy but to fulfill., (fulfil all of the prophesies concerning Christ, which is also to confirm the covenant, mentioned by Daniel).
Matthew 5:18 (NKJV)
18 For assuredly, I say to you, till heaven and earth pass away, one jot or one tittle will by no means pass from the law till all is fulfilled.
The question here is what does, “till all is fulfilled” mean; At least it means, till all the prophesies concerning Him in the Law and the Prophets are fulfilled; and these have not all been fulfilled yet.
Jeremiah 13:13 (NKJV)
13 Then you shall say to them, 'Thus says the LORD: "Behold, I will fill all the inhabitants of this land--even the kings who sit on David's throne, the priests, the prophets, and all the inhabitants of Jerusalem--with drunkenness!
Matthew 23:37-38 (NKJV)
37 "O Jerusalem, Jerusalem, the one who kills the prophets and stones those who are sent to her! How often I wanted to gather your children together, as a hen gathers her chicks under
her wings, but you were not willing!
38 See! Your house is left to you desolate;
We do not stone sinners to death; but it still remains, the penalty for sin is death (unless the sinner repents). The difference is with Moses, Moses and the Priesthood,were the government; for the last 2000 years Rome (also called Satan, even though fragmented) is the Government. Rome does not use God's Law, he has his own law.
