The word "we" includes the author of Acts, Paul, and the others traveling with Paul, but not the reader. (See: [[rc://en/ta/man/translate/figs-exclusive]])
This can be stated in active form. Alternate translation: "When the king and the governor decided" (See: [[rc://en/ta/man/translate/figs-activepassive]])
This was the name of the battalion or army from which the centurion came. Some versions translate this as "the Augustan Regiment." (See: [[rc://en/ta/man/translate/translate-names]])