Paul writes the Corinthians again to defend his apostleship based on revelation (the scriptures) not worldly success so the ones who oppose him might be forgiven, accept him and his gospel.
Paul writes the Ephesian believers so they include Gentile believers but not practice sinful Gentile traditions, imprisoned under Gentile authority he instructs them to follow all authorities for sake of the gospel , this is God's plan, his imprisonment is furthering the gospel.