please help me with 'GERUNDS WITH POSSESIVE'

Which one is formal?
A. Do you like people's disturbing you? Or Do you like people disturbing you?

I want to know about gerunds with possessive like, your being involved, your behaving like that,my being there, my being insulted. How does it work in a sentence as a direct object or as an indirect object? ? If it works as a direct object with verb and a object of prepositions, can we use it with the replacement of 'it'.like,
A. I am tired of it.
A. I am tired of your asking me the same question again and again.
b. I respect it.
b. I respect your being here.
C. What is your reaction to it.
C. What is your reaction to his being involved there.
D. I finished it.
D. Today, I fired him.I finished his interfering you.
the sentences above and my understands are correct? ?