First of all, they shouldn't need it for witness purposes. God already knows, it doesn't matter if people know or not [dont please people, please God]
Secondly, yes. Jesus said himself in Matthew 5:17
New International Version
"Do not think that I have come to abolish the Law or the Prophets; I have not come to abolish them but to fulfill them.
New Living Translation
"Don't misunderstand why I have come. I did not come to abolish the law of Moses or the writings of the prophets. No, I came to accomplish their purpose.
English Standard Version
“Do not think that I have come to abolish the Law or the Prophets; I have not come to abolish them but to fulfill them.
New American Standard Bible
"Do not think that I came to abolish the Law or the Prophets; I did not come to abolish but to fulfill.
King James Bible
Think not that I am come to destroy the law, or the prophets: I am not come to destroy, but to fulfil.
Therefore he did not destroy any laws. One thing he did do is allow repentance a.k.a he didn't let the woman get stoned to death. Doesn't mean what she did wasn't wrong, but she was allow to repent.