For new world while maybe somebody didn't literally use a Sword or a Lance. Saber and Lancer or more like over arching themes I get from. (Are most of the servants the same in Fate/Zero as they are in Stay Night? I haven't got to a point in Fate Zero where any servants have showed up yet.) I have feeling Saber doesn't literally have to use a sword, but could instead be a Great leader (which without spoilers, is what Saber was in Fate Stay Night at least, as well as being a great sword wielder.). Examples would depend on where you are drawing the heros from. Like what time periods in American history are you drawing from? doesit go back to the 13 colonies?
Also I would really like more info on your second one. Like I literally have nothing to access it on, but by my D and D knowledge of Dragons. and I am strict with my definitions of them. (I have drawn my dragons mostly from 2nd Edition D and D for Graterras, though the RPers won't be meeting them for a long time, as Dragons are powerful, and most of them abhor Humans, so they will literally destroy them. [even though the Gentleman already did that once, but that was introducing the Big Bad, little bit different scenario.]) Only reason I am asking is because your description literally doesn't say anything about the rp other than Dragons are involved and a school of some sort judging by the name. What is it about? Are we playing Normal People, Half Dragons, or people with a connection to Dragons in some lesser way?
(Also if using D and D as a resource, each type of Dragon should have different intelligence Level. Different types of Dragons have differing intellgence levels, with which I am sure you know. Examples. The Amethyst Dragon is highly intelligent Having almost super computer level intellgence, while White Dragons were dumber than your average person, more easily giving into their primal desires. Amethyst Dragons as a result were more likely to know other languages than their own, while White's saw Human etc. as prey so they rarely learned other languages, because you don't usually talk to your food. Just my 2 cents.)