The pharisees accused Jesus of breaking the Sabbath numberous times, when he healed different people or ate from a field. The Sabbath was not a man made law. In the Old Testament a man was put to death for gathering sticks on the Sabbath.I disagree with you on this and it does not go hand in hand with biblical doctrine.
Jesus never broke any law in the Bible. Not once. Not His law which we are all supposed to obey with His power in us because we can't do it on our own. The Bible says about Jesus' sinlessness:
2 Corinthians 5:21, "For He made Him who knew no sin to be sin for us, that we might become the righteousness of God in Him."
Hebrews 4:15, "For we do not have a High Priest who cannot sympathize with our weaknesses, but was in all points tempted as we are, yet without sin."
1 John 3:5, "And you know that He was manifested to take away our sins, and in Him there is no sin."
If Jesus broke any laws they were man made laws and those don't count at all in our salvation. There are instances where it seemed like He was sinning but it was never against God, just against man. That is why He said, "Thus you have made the commandment of God of no effect by your tradition. ... And in vain they worship Me, Teaching as doctrines the commandments of men” (Matthew 15:6, 9).
Biblically there is never a situation that calls for man to sin (which is breaking God's law), not even for good.
32And while the children of Israel were in the wilderness, they found a man that gathered sticks upon the sabbath day. 33And they that found him gathering sticks brought him unto Moses and Aaron, and unto all the congregation. 34And they put him in ward, because it was not declared what should be done to him. 35And the LORD said unto Moses, The man shall be surely put to death: all the congregation shall stone him with stones without the camp. 36And all the congregation brought him without the camp, and stoned him with stones, and he died; as the LORD commanded Moses
What Jesus did is clarify to them that the Sabbath was made for man, not man for the Sabbath. The pharisees had been misinterpreting the Law.
27And he said unto them, The sabbath was made for man, and not man for the sabbath: 28Therefore the Son of man is Lord also of the sabbath
The highest commandments are to love God and love our neighbor as ourselves. When Jesus healed (even on the Sabbath) he did so out of love.