Contradiction with Luke 6:9
Unlike Mark 3:2, where critics watch to accuse Jesus, in Luke 6:9, Jesus proactively questions whether it is lawful to do good on the Sabbath, challenging the accusers' logic.
Luke 6:9: Then said Jesus unto them, I will ask you one thing; Is it lawful on the sabbath days to do good, or to do evil? to save life, or to destroy [it]?
Contradiction with Matthew 12:12
This verse suggests it is lawful to do well on the Sabbath, while Mark 3:2 indicates that Jesus was being watched for healing on the Sabbath to accuse him.
Matthew 12:12: How much then is a man better than a sheep? Wherefore it is lawful to do well on the sabbath days.
Contradiction with John 7:23
Unlike the adversarial observation in Mark 3:2, this verse justifies healing on the Sabbath by comparing it to the accepted practice of circumcision on that day.
John 7:23: If a man on the sabbath day receive circumcision, that the law of Moses should not be broken; are ye angry at me, because I have made a man every whit whole on the sabbath day? [that...: or, without breaking the law of Moses]