And yet,you didn't touch on your first point.."life from nonlife"
It has nothing to do with evolution..
Origins of life is a completely different topic
Uh, "this theory he proposed that unintended, undirected completely natural (as opposed to supernatural) causes were sufficient to explain
the existence and great diversity of life."
“
All the objective phenomena of the history of life can be explained by purely naturalistic factors; …on the basis of differential reproduction and mainly random processes of heredity … Man is the result of a purposeless and natural process that did not have him in mind.” (George Gaylord Simpson)
True that Darwin himself put very little emphasis on Origins, and also true that many other evolutionists don't, focusing on other issues (it is, after all, a widely diverse topic).
Origins is an additional element of Evolution, and many supporters of evolution try to isolate the two, but the fact is that the link is inevitable. If one begins with the presumption that "… Man is the result of a purposeless and natural process that did not have him in mind” (George Gaylord Simpson) then it is unavoidable that one find some explanation for the existence of the universe, and of life. And that struggle continues because the greatest controversy and dispute comes, not from anti-evolutionists, but from within the community of evolutionists.
Edited to add: just additional notes on the subject...
“However, within the field of evolutionary biology, the origin of life is of special interest because it addresses the fundamental question of where we (and all living things) came from.”
“When did life originate? Evidence suggests that life first evolved around 3.5 billion years ago.”
“Although several lines of evidence are consistent with the hypothesis that life began near deep sea vents, it is far from certain…”
UC Berkeley course “Understanding Evolution” notes.