While it is somewhat outside the purview of this forum to write a whole essay
I can point you in a good direction, and even provide you with a thesis statement.
“But I'll tell you something; the man has been writing on art for twenty-five years,
and he doesn't know the very first thing about it.”
This observation about Serebrakoff by Voitski would make an excellent start for a thesis statement
like "What would his autobiography say about this household?" This would allow you to examine
the play from the viewpoint of his relationship with the other characters, especially Marina.
A careful, close reading of the play, with particular attention to the tone of the dialogue
(the way each character reveals his affection, or lack of it, by the tone of the dialogue), would be very fruitful.