Is it right to pray for ourselves? Some teach the children to pray using the acronym JOY - Jesus, Others, You; or STOP - Sorry, Thanks, Others, Please. The order seems helpful ... to prevent the incessant demand of personal needs getting in the way of our focus on the Lord and other people.
But John 17 gives us a different perspective. Jesus starts by praying to Father God about their relationship (John 17:1-5). It is a critical prayer because 'God's hour' had come - the pivot point of history is Christ's death on the cross.