As I understand it, LEOSA is basically a federal law that exempts qualified individuals from state and local laws pertaining to carrying a firearm. There are still places we can't carry, such as aircraft, properly marked public buildings, schools, etc. As far as qualification and firearms permitted, this is determined by the department conducting the qualification. LEOSA requires that we shoot an authorized qualification course. My agency only requires that I shoot the off-duty/back-up weapon course with both revolver and semi-auto, if I want to carry either. I shoot 45 cal for both and I can carry any revolver or semi-auto up to and including 45 cal.