Rick:
There might be some confusion over the term CCX with regard to Marine Corps Boot Camp. CCX stands for "Combat Conditioning Exercise" (remember X in the Marine lexicon means "exercise", like CAX "Combined Arms Exercise"), but it is not a particular "school" offered at Parris Island or any other Marine Corps Recruit Depot, but rather is a particular part of the Marine Boot Camp training. Normally conducted around Training Day 20, this involves the recruits initial introduction to some close combat techniques, bayonet training and then practical training with the pugil sticks. This training is conducted at both Marine Corps Recruit Depots and at the Office Candidate School, Quantico, VA.
With regard to those who taught the course, it would have been a drill instructor who was assigned duties (such as teaching close combat) other than being "on the street" with a training platoon. In 1984, only Sergeant's and above were sent to drill instructor school and every once in a while, you might find the really exceptional Corporal. So there is no way a junior Marine that had not been through DI School would have been training recruits.
One other thing you might want to keep in mind based on your own experience. The US Naval Services are very specific in the use of the term "school" with regard to how a course of instruction is classified. A "school" is something that one attends to obtain a primary MOS/Rating or additional MOS/additional qualifications for a rating. Kinda like when you went to A School (I assume you are a Corpsman) to get your initial rating, and then maybe a C School or two in order to qualify in something like respiratory therapy. As far as a Close Combat School, there was not an actual MOS for a Close Combat Instructor (8551/8552) until the LINE program was developed in the late 80's (I think around 89). So no formal school existed until that time. Once it was established, the instructors course was taught at Quantico, Virginia, with then Gunnery Sergeant Ronald Donvito (founder of the LINE system) as its chief instructor.
). The very lovely system has shown me that Bruce read it at 6pm (that's 1800hrs for all you military types). My clock now says ... 2236hrs. Hhmmmmm....
My wife is a US Coast Guard CPO and sometimes she says stuff that sounds real familiar to this former Jarhead, only to realize that the Coast Guard has a slightly different definition. 
