Are sentences '1' and '2' correct:

1) Whose describing the events made the judge change his mind?

(Who made the judge change his mind by describing the events?)

2) Whose narrating of movies gets on your nerves most?

Different people get on your nerve by narrating movies. Who gets on your nerve most when they narrate movies?

navitasanAre sentences '1' and '2' correct:

Yes, but they might be called "stylistically defective", i.e., no good author would write them.

I could not find any sentences on fraze.it that started with "Whose -ing". The standard phrasing is to use a synonym of the -ing word, typically a -tion word, thus:

Whose description of ...?
Whose narration of ...?