As he reasoned with them about righteousness and self-control and the coming day of judgment, Felix became frightened. “Go away for now,” he replied. “When it is more convenient, I’ll call for you again.”
Paul reasoned with Felix about the topics of righteousness (being right before people and before God), self-control (as opposed to self-indulgence and self-satisfaction) and the coming day of judgment (the day when your righteousness and self-control will be judged by the Judge of judges).
Bold stuff Paul.
While I'm sure they also talked about the weather and what not, Paul brought this stuff up enough that it bothered Felix in the best of ways.
That said, Felix also entertained these little bunny trails in the hopes of getting paid off by Paul.
But Paul never attempted to pay his way out of anything. Paul was where he wanted to be: on the way to Rome.
Perhaps this frightened Felix all the more.
Paul wasn't just a wandering peddler of philosophies, he was a walking, talking exemplar of the faith he so powerfully attempted to persuade Felix to embrace.