Featured Green stone necklaces, please help identify the stone

Hi,
I have few necklaces, I don’t know what sone they are, all in shades of green.
I presume that number 2 is a form of serpentine perhaps, and number 3 maybe a form of Jade, number 1 has a milky green colour, under light behaves the same as the others, crazed like look.
I really appreciate your opinion.
Thank you.

 

If it helps, number 2 has a typical Chinese export silver clasp.

 

4 might be green aventurine, but you have not shown that one in closeup, so hard to tell.

 

The second one is ringing bells. There's a stone called gooseberry garnet, but I suspsect serpentine alas. The third one looks dyed, but dyed what I haven't the faintest.

 

Thank you so much for the response. Number 2 , the gooseberry looking like has a sterling silver clasp gold plated. I have hold it for a long time, but it does not feel cold like Jade.
I found on the internet few other descriptions, please see photos.
I will add one more photo with the light behind it for the number 3, strange enough , that feels like Jade, cold.
Number 4 close up as well, looks like aventurine.
Thank you

 

The second one has a Chinese clasp, one more reason to suspect serpentine. I hadn't even looked at it. The dyed ones look Chinese too when you pass a light through them. There's a stone they use to simulate jade, don't ask me the name, and it looks like that when lit up.

 

Going by color alone, #2 could be olivine.

 

That's the name I was trying to remember.

 

Sorry to be a bummer, but the only way to be sure is to have the stones tested. Otherwise you are just guessing

 

Thank you all for sharing your thoughts and expertise, I would have to go and check them at some point, you are right, but for now they will be enjoyed wearing them.
Its interesting to see how many kinds of different colour stones are up there.
I will be posting few others in shades of blue, to have fun learning.
Xx