Received a small horde of jewelry from my grandfather and am attempting to identity the turquoise jewelry left to me. I also received a jade ring that my Great Grandfather bought when stationed in either Hawaii or Japan immediately post war (1940s-1950s)

I’ve done the leg work on the jade ring but am sadly falling short on turquoise(the learning curve is similarly insane,) so I am here to get opinions. My forefathers bought these pieces I assume because of both Jade and Turquoise’ importance in Meso-American culture. Any insight is greatly appreciated so that myself and my ancestors can also correctly appreciate the pieces.