I would think that in a military context, paper cartridges, carried in a cartridge box would be the ammunition and carry of choice, simply due to the military context. IMHO, officers were and are required to provide leadership visually, as well as verbally, so IMHO, conformity to uniform reqs would have been the norm.
Some folks like to load paper still wrapped around the ball, some squeeze the ball out of the paper, and load the paper on top of the ball as an over shot wad.
IMHO, gotta try both ways to see what it likes.
As far as a sporting bag for civilian use, there really aren't any dated examples of early bag of the type used in the American Colonies, so everything us left to supposition.
Generally speaking, if I was to make an early bag of the 1760's, it probably would be rather large, 8 or 9" square or squarish, plain, and made of 3 Oz, or so, veg tanned leather, with leather straps about 1" or a little more wide.
God bless