Some people wanted proof that Paul was a real apostle. They wanted to see letters from other leaders that proved he could be trusted. But Paul’s authority as an apostle came from God and not from other leaders.
Paul described the Corinthian church as a letter that Jesus had written. He meant that their lives showed that Paul was teaching the truth about the Messiah. Paul didn’t claim to be important. He only claimed to follow Jesus’ example of being a leader who serves.
As God’s servant, Paul taught people the difference between the old covenant and the new covenant. The old covenant was the Mount Sinai covenant. The promises of that covenant pointed to Jesus.
The new covenant changes people’s hearts and makes them right with God for ever. Many people don’t understand this. It’s like their minds are covered with a veil that keeps them from understanding. But God’s Spirit makes people who turn to God understand it. He gives them eternal life and helps them become like Jesus.