St. John chapter 13 shows Jesus washing his disciples’ feet; identifying the one who would betray him; giving his followers a new commandment and telling Peter that he will deny him three times before the rooster crows. This chapter demonstrates the love that Jesus has for everyone, no matter what they may do or say to him.
In washing his disciples’ feet, Jesus demonstrates that a leader must be a servant, and be willing to bend and minister, not considering their own comfort. In identifying his betrayer, Jesus showed compassion on Judas by not turning the others against him at that moment. He also demonstrated his love and trust for his Father, and did not take matters into his own hands to stop the Will of his Father.
Why a new commandment? The first commandment was driven by obligation, but the new commandment is to be driven by Love, because the ministry of Jesus was based on Love. Finally, the prophetic words of Christ telling Peter that he would deny him three times within hours, was to highlight love is action, not just talk.