prepositions - Accusative and genitive constructions - interchangeability; usage of "of" in genitive

Would it be acceptable to replace the emphasized (genitive) construction in the following sentence

"The photographer Terry Richardson, after being accused in one documentary of sexual assault of female models, continued to work for major fashion brands until reporting on the producer Harvey Weinstein changed the landscape"

with the following (accusative) construction "sexually assaulting female models"?

Should "of" be used only in expressions such as "application of these concepts to..." while not in those such as "applying these concepts to..."? Is it correct that -ing form is generally not used in constructions such as the on in the first example ("applying of these concepts"). Is it just a matter of style?

Should it be "abandoning this paradigm calls for rethinking the concept of..." or "abandoning this paradigm calls for rethinking of the concept of..."?

I understand that English is an analytic language which has almost entirely abandoned its inflectional morphology and case system; my reference to dative/accusative cases is thus merely to indicate how I'm trying to explain this to myself.