The "N" cartridge has a slightly larger neck size and I believe the rifles were rechambered for this. If not rechambered it could result in too high pressures using the "N" cartridge because the case can't expand enough to let the bullet out.
Modern cartridges are loaded to the "D" specifications for the most part but double check before purchase or use. As the rifle is designed for "D", they shouldn't be a problem. The "N" cartridges would be military surplus made after 1932 so deinitely stay clear of these.
You got a very good piece there with everything matching. THAT also makes it rare. Just being a 1916 doesn't but the cleaning rod and matching numbers and apparent condition, you got a steal.