I answer here too: Razor is only one individual of the Raptors. Neither of the two "human Darkhawks" are part of the Fraternity but Powell was for a short time.
Darkhawk is (I think, but I haven't read the many years of New Warriors adventures of Darkhawk) the codename he chose. His armor is so called Darkhawk armor, but as each armor is basically the same as the others, we can work on a unique page for all the armor, including possibly alternate versions (in mechanism, or alternate in realities).
Well, it depend also if Razor takes control over Chase, of if a Raptor tried to recruit him (in order to bring Razor back, or not).
I don't think wearing the armor makes Chase a member of the Fraternity. For others species (as the Skrulls), it has been proved that the transformation makes them members, as the Raptor takes control of the body (and the Raptors are indeed members).