The Pharisees accused Jesus and His disciples of breaking the Sabbath, but there is not one law from the Bible that Jesus broke. The only laws He broke were the Rabbinical ones defining what "work" was. There were 39 of them. When the disciples were going through the grain fields on the Sabbath and plucking the grain to eat, the Pharisees felt the disciples were breaking the laws against harvesting (picking the corn or wheat), threshing (shucking it or rubbing in between their palms), among others. They did not break one single law from the Bible in doing this.
As for His healing miracles, Jesus said it is lawful to do good on the Sabbath - this includes all kinds of work done to save lives, physically or spiritually. This is the reason no Sabbath keeper argues against essential services continuing, and the reason pastors can work that day and still be "guiltless." The priests worked in the temple that day and were held guiltless. When He healed, He was doing redemptive work which was fine.
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