We should expect some differences between four independent accounts. If they were identical, we would suspect the writers of collaboration with one another. Because of their differences, the four Gospels actually give us a fuller and richer picture of Jesus.
Because of God’s sovereignty, He chose the gospel of kingdom and the gospel of grace to show not only His love to humanity but also His sovereign right to do it. Don’t seek righteousness through the works of the law, but by faith.
The Kingdom Age, of which Peter was the designated apostle, was put on hold in Acts 7 when the Jews stoned Stephen after rejecting his preaching. The dispensation that came next is what we call the Church Age, and it will end in the Rapture of Church Age believers.