Text Message To A Friend: The Old Testament-New Testament Difference of God's Law

A friend asked me about the people that died under the law in the Old Testament:

Check this out...Ezekiel 18:24 KJV But when the righteous turneth away from his righteousness, and committeth iniquity, and doeth according to all the abominations that the wicked man doeth, shall he live? All his righteousness that he hath done shall not be mentioned: in his trespass that he hath trespassed, and in his sin that he hath sinned, in them shall he die.

 Also Ezekiel 33:13-19.

My response:

I think those have to do with the people under the Law in the Old Testament. Read through Hebrews *{new edit: <my mistake: Galatians instead of Hebrews>}* when the Apostle Paul refers to ''schoolmaster'' for people who were not under the Grace of the Blood Sacrifice of Jesus Christ on the Cross. People did burnt offering and sin offering to atone for their sins without the Testimony of Jesus Christ.

That's what I ended with. What do my brethren think of the difference between the people under the Law in the Old Testament and the people (including us) under the Grace of Lord Jesus Christ in the New Testament? Be sure to "back up" your opinion with BIBLICAL EVIDENCE straight from the Word of God in the King James Bible in your answers and comments. I wanna read some Scriptures.

_____________________________________

Note: Here's that "schoolmaster" quote from Galatians I was referring my friend to:

KJV Galatians 3:17-29

17 And this I say, that the covenant, that was confirmed before of God in Christ, the law, which was four hundred and thirty years after, cannot disannul, that it should make the promise of none effect.

18 For if the inheritance be of the law, it is no more of promise: but God gave it to Abraham by promise.

19 Wherefore then serveth the law? It was added because of transgressions, till the seed should come to whom the promise was made; and it was ordained by angels in the hand of a mediator.

20 Now a mediator is not a mediator of one, but God is one.

21 Is the law then against the promises of God? God forbid: for if there had been a law given which could have given life, verily righteousness should have been by the law.

   22 But the scripture hath concluded all under sin, that the promise by faith of Jesus Christ might be given to them that believe.

23 But before faith came, we were kept under the law, shut up unto the faith which should afterwards be revealed.

24 Wherefore the law was our schoolmaster to bring us unto Christ, that we might be justified by faith.

25 But after that faith is come, we are no longer under a schoolmaster.

26 For ye are all the children of God by faith in Christ Jesus.

27 For as many of you as have been baptized into Christ have put on Christ.

28 There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus.

   
   29 And if ye be Christ's, then are ye Abraham's seed, and heirs according to the promise.