glee - I am assuming that your post of .36 gr of HP38 was intended to be 3.6 grnot .36 gr
My Speers manual (#14) indicates that the minimum starting load suggested for 38 spl is 3.6 gr. It does not have a * next to it which is their way of indicating that a mag primer is suggested. Go to the powder manufacturer's site and double check their loading data - always a safe thing to do - and see if they recommend a mag primer but you should be just fine with a regular one.