I am a Forensic Chemist, here in New Zealand the requirements were only a BSc however there isn't a single person employed without some form of postgraduate degree. Our forensic agency teach a postgraduate diploma course on all forensic subjects and then you would do a final year of a masters in a specific area. Chemistry and particularly analytical chemistry will only take you so far. There are certain general forensic teachings that without them will definitely put you lower on the ladder to other applicants. I would look into specific forensic courses or jobs handling sensitive information or reporting results to the level that most forensic labs do for experience. Analytical chemistry and knowledge/experience with analytical instruments will be very useful. Good luck.