Why was Paul's father a man of influence?
Paul's father was a man of influence because Paul was born a Roman citizen, not one who purchased citizenship. This inherited status, passed down from his father and likely grandfather, indicates the family held significant standing and influence within the Roman Empire.
Les explains that Saul was proud of his genealogy and could probably trace it clear back into the Old Testament economy. He points out that Paul's father must have been some kind of a man of influence because he was already a Roman citizen. When Paul was brought under arrest by the Romans, he claimed Roman citizenship. The authorities asked how he could afford to buy it, since it cost all kinds of money. Paul replied that he didn't have to buy it—he was free born, born a Roman citizen. Les says this tells you something about his father and probably even his grandfather. All these things come into play when you look at the man's religious fanaticism.
And the chief captain answered, With a great sum obtained I this freedom. And Paul said, But I was free born.