Note 3 at Acts 21:31: These are not the believing Jews who Paul and the elders sought to appease who are trying to kill Paul. These are the Jews who had rejected Jesus as Messiah. Paul's defense in chapter 22 is of the Christian faith as a whole, not just a defense of grace vs. law for salvation.

Note 4 at Acts 21:31: As explained in note 3 at Jn. 18:3, p. 510, a band of soldiers was 600 men. A captain or centurion (see note 1 at Mt. 8:8, p. 171) ruled over each 100 men, therefore, this band had six captains. This man, named Claudius Lysias (Acts 23:26), was the highest ranking captain of the six.