Often Illustrator file size have very large size. And Illustrator interface at now provide no ways for understand, which objects englarge file size, and how to reduce the size.

Main question is for embedded objects (pixel images) - before embedding we can see file size, but after embedding - fields in panel becomes empty! Why?

So, please fix, at first, showing info about embedded images in Links panel, and next - create some tool for review size of currently selected group of objects.