FOR,
if you have a frontal pic, then that would confirm it for sure.
Keeping in mind, that front panels can be changed (not something you'd expect on a near new car), the surest way to tell the two apart from the front is to look at the vent(s) under the wipers.
On an EJ, its two piece, with solid scuttle between, and an EH's vent is one piece running most of the way across the scuttle.
There's nothing to say that this car could be technically wrong in use of an EJ tailgate and emblems, and the missing drip rail mouldings. It could well be an EH, minimised under a fleet buy....all sorts of shoe went on in those days.
The radiator grille, is a bolt on item, but the vent grille is structural, and requires substantial surgery to change.
As for my technical interest in the model, first car (and resto) was an EJ, and I am led to believe I was concieved in an EH prem
Pop quiz for you holden expert friend......what is special about the HD holden (apart from it being the least desirable...after a crappodore) ???