James Robert Carroll has seen the Cook County branch courts from several angles.As a Chicago police officer, he handled warrants at the justice complex at Belmont and Western avenues as a police officer.As a Cook County assistant state’s attorney, he prosecuted misdemeanor cases and worked on preliminary hearings there.Coming full circle as a Cook County associate judge, he presided over misdemeanor cases and preliminary hearings in Branches 29 and 42 earlier this year.“It shows the entire transition of my …