It's lavender jade. I don't know much about jade vs. jadeite. Maybe you can educate me or maybe I should start visiting the Jade thread. Yes- those are amethysts and diamonds. I have matching earrings. The picture is dark. It's much lighter and brighter in person. This was at my cousin's bridal shower - a casual Sunday, summer afternoon. I work in investment banking but sadly the ladies aren't into luxury items.
Ooh would love to see it in natural light! Lavender jade is notoriously hard to photograph.
I am definitely not a jade expert but I'll share some of what I do know. Jade can be either jadeite or nephrite. Jadeite is typically more desired and expensive especially in certain colors (emerald green, apple green, lavender) and textures (ice, glass, fine crystals, "oily") and higher pigmented, but there are also expensive types of nephrite as well (Edward Black, some Siberian nephrites, Heitan jade). The more translucent a piece is, the less pigmented it typically is too. Glass (looks truly like glass) or highly pigmented fine textured jadeite is probably among the most expensive, and can be hundreds of thousands of dollars or more. Bangles are typically among the most expensive because they have to be carved out of one piece. Pendants, earrings, beads etc can be carved out of the "wasted" material. Carved bangles in particular are often done so to carve out the less desired bits, like stone lines or stone blemishes.
As mentioned above, lavender is one of the most sought after and expensive colors, and supposedly getting more in shortage. Pink lavender I believe is more desired than blue lavender as well. Hope that helps a bit!
Ha that might be more than you wanted to know!

P.S. I see you are in NY also! Did you buy the pieces locally? I haven't found any trusted shops. There are too many fakes (treated: B is purified with resin etc added, and C is color added).