It's a big improvement. It's well organized. It's quite readable. I have a few suggestions for revisions.
Use the singular (contribute).The love-scenes (Christy’s relationship with Pegeen) contribute(s) considerably to Christy’s change of character.
Say: "As in the classical manner" or "Typical of the classical manner".Just like the classical way, the opening dialogue serves as an introduction to the hero, Christy. Pegeen is writing a letter that shows her marriage to Shawn is approaching.
insignificant, coward people
- insignificant, cowardly people
Put a comma after "her".Shawn refuses to stay with her because he is afraid of Father Reilly .
Delete "had".he reveals that he had killed his father with a loy (a spade).
Place an es after the apostrophe.Christy’ story of his past life is crucial to the play.
Put "an before "insignificant".saying that he was insignificant person in his village
Say: "the audience".We as audience feel sorry for him because of his father’s ill-treatment for him and at the same time, we are afraid to be in his own shoes.
What is it too late for?Widow Queen arrives at the shebeen although it is too late at night.
Change "The" to "A". (You might be able to use "the" if the fight had been previously mentioned.)The fight starts between the two women.
Say: "his satisfaction about the two fighting over him".At the end of Act I, Christy expresses his satisfaction of the fact that the two women fight over him.
Say: "he tells them his tale, making it sound as grand as he can". ("Making it sound as grand as he can" is an adverbial phrase.)After the girls and Widow Queen came to see him, he tells them his tale trying to make it sound as grand as he could.
Put a comma after "and".Susan says that his story is grand and Honor admires his way of telling the story.
Say: "because it provides comic relief".This coming back of Old Mahon is essential to the play because it gives a comic relief.
Say: "If the patricide had actually been committed it would have had a gloomy effect on us."If the patricide were actually committed, this would have been a gloomy effect on us.
Delete "the".Christy receives prizes for his victories in the sports
You might want to explain that "rhetorical" refers to the dialogue, and not leave that to the reader to figure out.There is a highly rhetorical love-scene between them. Although it is full of the use of figurative speeches on both sides, Christy’s and Pegeen’s, we cannot admit that the hero only use this rhetorical kind of language because Christy uses a simply language when we first met him in the first Act.
Say: "that she would marry him within a fortnight."Christy now reaches the peak of his achievement in Mayo by getting the promise from Pegeen that she would marry him within fortnight.
Say: "objects to".Michael objects their proposed marriage, but he changes his mind upon seeing that Shawn is a coward and incapable of defending himself.
Delete "also".This is also another climax in the play.
I would prefer more detail there. Does he hit him with his fists? (When you say "begins to" does it really mean that the action was completed or even started?)Old Mahon comes back and begins to beat Christy.
Instead of present tense, as before, here and later you switch to past perfect tense.The people of the village have also turned against him for the same reason.
Changing "tied" to "tie" puts that sentence in the present tense.The village people tied him up with ropes in order to hand him over to the police.
You didn't previously mention how many blows the man was dealt.Nevertheless, not having been killed by the second blow, Christ’s father comes back again.
Why does he have a broken heart? That is not clear to me.He departs and leaves Pegeen with a broken heart.
All in all, not bad. It is a big improvement over the previous version.