The ASD would probably have the pump action shotgun as a secondary weapon like most other police services. As for investigating offences, they can investigate offences that they have a mandate for ie; traffic accidents with no injured persons, controlled substances,etc, as for fedral laws I am thinking that they can only assist the RCMP or other services by holding the accused until the formentioned services were called. I would try the Alberta Soliciter General website for more info on that.