If I had to sum up the ministry of Paul and those that ministered in what we call the New Covenant, I would say Paul strove to do two things, he strove in the church that battled with the law, he strove in the church to always point them back to the Cross of Calvary. Because at the Cross of Calvary, it was all paid and settled in full. Everything I could not pay, he paid. It was settled in full. "It Is Finished!"
The next thing the Apostle Paul strove to do was to instill in every Christian the power of the New Identity in Jesus Christ that they received upon dying to what they were, and becoming who he is.