The clones and shit

I’ve seen the original series 3 times or so, and I’m moving into my fourth. And still, I’ve had many questions left to be answered, I figured I should ask this community.

I understand that NERV has “a couple” clones of Rei at their disposal, and that all of them are “soulless.” I also understand that (like Kaworu), Rei has the soul of Lilith imbedded into her. AND I understand that Rei is a clone of Yui (because of course she is, there has to be some Oedipal complex here). Lastly, I understand that Eva’s are clones of Adam (with the exception of Unit 01), and are made soulless.

With all of Rei’s clones being empty soulless vessels, when Rei “was born,” being a clone of Yui, was she initially soulless? Then Lilith’s soul was injected within her afterwards?

And every time Rei dies (Rei I and Rei II), they use the clone and re inject it with Lilith’s soul. Is it the same soul that was in the prior clone? Or are there multiple “souls” of Lilith that Gendo / NERV have lying around?

If it’s the latter (multiple souls), then where do the souls go after they die? Where did Kaworu’s soul go after Shinji killed him?

If it’s the prior (single soul with the ability of harvested and placed elsewhere), then did Kaworu’s soul just lay dormant in his corpse? Or was it extracted by Gendo and he used it (??)?

I’m sorry if this gives anyone trouble, NGE gives me bipolar and I want to understand as much as I can about it. Thank you