Law and grace

2 Corinthians 3:6- He(God) has made us able ministers of the new testament not the letter (law of sin),but of the spirit. For the letter killeth but the spirit gives life.

A law is a compendium of instructions to be followed strictly or adhered to. Laws are given to curb human excesses and irregularities. Breaking of these comes offense and sins. Laws are also guidelines or procedures to approach a phenomenon or service. It started from the garden Genesis 2:16-17- And the Lord God commanded the man, saying,  "Of every tree of the garden you may eat, but of the tree of the knowledge of good and evil you shall not eat, for the day you eat of it you shall die. This was the first instruction and law binding the garden of Eden. Then the ten commandments, law of firstborns, animal control laws, law of altars, law concerning servants, laws of grain offerings and too many to mention. The law also addresses the relationships of the Israelites. Jesus said in Matthew 5:17-18- Do not think that I(Jesus) came to destroy the law or the prophets. I did not come to destroy but to fulfill. For 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.
This Israelites held it to letter and committed irrational and biased judgment based on wrong understanding of the law. Just like the attempt to stone the woman caught in adultery to death. Also  Acts 10:28-19- Then he(Peter) said to them, "you know how unlawful it is for a Jewish man to keep company with or go to one of another nation. But God has shown me that I should not call any man common or unclean" .  
Peter could say this confidently after he had revelations from the verses before.
Luke 16:16- The law and prophets were until John. Since that time The Kingdom of God(Jesus) has been preached and everyone is pressing unto it.

Grace - Is what you don't deserve, receiving what you don't qualify, It is Jesus and His fullness.
Romans 3:20- Therefore by the deeds of the law, no flesh will be Justified in His(God's) sight, for by the law is the knowledge of sin.
23,24- For all have sinned and fallen short of The glory of God. Being justified freely by His grace through the redemption that is in Christ Jesus.
Ephesians 2:8- For it's by grace you have been saved through faith and this is not from yourselves, its the gift of God.
Titus 2:11- For the grace of God has appeared that offers salvation to all people.
Jesus full of grace (John 1:14)brought unlimited mercy and unlimited access to God, Almighty and His throne by His blood and created a new law. He made grace available since He had it in abundance. It became available on the cross.
Romans 7:25- I thank God through Jesus Christ, Our Lord!  So then with the mind I myself serve the law of God but with the law of flesh.
Jesus Christ brought a new law. Mark 12:29-31- Jesus answered him, "The first of all the commandments is:"Hear, O Israel, the Lord our God, the Lord is On. And you shall love the Lord your God with all your heart, with all your soul, with all your mind and with all your strength " This is the first commandment and the second, like it is thus:  you shall love your neighbour as yourself" there is no other commandment than this.

Titus 2:11- For the grace of God that brings salvation has appeared to all men,teaching us that, denying ungodliness and worldly lust, we should live soberly, righteously and godly in the present age.