Wrong!<quoted text>The covenant that will be written on their hearts just means they will be diligent to observe it. They will live and fulfill the law instead of just paying it lip service. Jesus' only commandment was to love each other but there is a lot more to righteousness than that. And Jesus did not fulfill every statute and judgment in the law during his life.
Jesus fulfilled all the prophecy in the OT, and the rest will be fulfilled at His second coming.