If Christ has all power to perform miracles, how is that that "he could there do no mighty work" save that He healed a few? If Christ has all power to act upon all his creations, including the sons and daughters of Adam and Eve, I would assume he could never be prohibited from performing miracles for them. Yet in Mark 6:5-6 it says that when Jesus came to his hometown:


  He could not do any miracles there, except lay his hands on a few sick people and heal them. He was amazed at their lack of faith. (Mark 6:5-6, NIV)


The Savior then addresses the people's unbelief perhaps in connection with this inability to perform mighty works. How does that work?
In John 6:29, "Jesus answered them, 'This is the work of God, that you believe in him whom he has sent.'" Jesus did not do His healing works merely for the sake of healing. He came to restore faith in God as an expression of repentance. His ongoing message was, "Repent, for the Kingdom of God is at hand" (Mark 1:15). He wasn't sent as a humanitarian to fix people's health problems. 

Jesus first proclaimed the kingdom with words, then He vindicated the truth of the message (that the kingdom has come) with healings. He rewards those who have faith in Him. If His hearers did not believe, they did not get the benefits of those who believe: "According to your faith be it unto you" (Matthew 9:29).