The idea as a whole is pretty decent, however, I'd switch around the specs to fit the dragonflights better.
Black: Melee DPS. Slow and heavy attacks.
Bronze: Melee DPS. Fast and light attacks.
Blue: Ranged Spellcaster DPS.
Red were the tanks in Oculus, and Green healer, so it's pretty much already set by Blizzard. Blacks are known for their destructive nature and heavy force, based off of Deathwing. Bronze alters time, and are known for being able to move at an incredible pace (see Infinite boss in Culling of Stratholme). Blue are generally incredibly similar to Mages' Arcane spec.
I do find 5 specs to be a tiny too much though, it's as if the Druid's 4 specs aren't enough already.
Support roles doesn't work in WoW either. They tried it with Boomkins in Vanilla, and nobody wanted to play one. They came to give their passive buff, Mark of the Wild, use Entangling Roots and dance like an idiot. People hated being that role. It does in general not work well in WoW. Raids being made today are mainly focused on the bosses and have very little trash packs, and bosses can't be stunned or CC'd, which would render the role completely useless in raids.
This class also seems more fit for Cataclysm, and now that the whole dragon deal has been sealed, I can't see this class working out in lore now that Deathwing is dead.
I love the idea, I would love to represent a dragonflight, but it just seems like there are more important classes gameplay-wise and lore-wise for WoW.
Btw, sending this idea off to Blizzard won't get them to make it. Blizzard will first of all not touch anything copyrighted by others, unless they alter it A LOT. They constantly try to avoid fan made classes to avoid copyright issues. Secondly, they're probably already working on the next two classes' concepts already, Blizzard are always far ahead when developing expansions, so you wouldn't see it before the dawn of a new age. Not to be a downer and demotivator, but I'm just being realistic.