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I think of those rules as foundational. They are excellent when handling a firearm. Situations in which you are discharging firearms make their safe handling more complicated.

I would offer that once those foundational rules have been communicated, a few more keep new shooters out of trouble on firearm ranges.
1.) Do not venture past the firing line for any reason whatsoever while the firing line is hot.
2.) The firing line is hot unless cleared and acknowledged by all shooters and bystanders.
3.) The firing line is hot unless you are certain that it is cold; if anyone on your range is touching a weapon, the firing line is not cold.
4.) While the line is cold, all weapons must be unloaded, open, and untouched until everyone is again behind the firing line and it has been declared hot. Detachable magazines don't count for this prohibition as long as the guns themselves remain untouched (e.g. some shooters load mags a ceasefire if their targets are still in good order), but for busy ranges or ranges where some shooters are new or unfamiliar with one another, I would lean towards "nobody touches anything."