I included the mistakes as well as the corrections. Can you please have a look at them, Writeacher? Thank you.

1) "Elizabeth I applied a strong policy and she could repulse the Spanish Armada."
Elizabeth I adopoted a vigorous foreign policy, which enabled her (or the English fleet) to repulse ....
2) "She apply an anti-Catholic policy.
Mistakes: Her policy was anti-Catholic and anti-Spanish."
3) "She was able to use small and fast ships in order to defeat the Invincible Armada that have heavy ships."
Not "she" but the English fleet was made up of small, fast ships which prevailed over the Spanish ones.
4) Lady Macbeth suggests her husband put on his nightgown.
5) "She also overcomes her husband's doubts about the idea of committing the murder".
She tries to overcome her husband's doubts about committing the murder.
6) "The revenge tragedy comes from the classical Greek tragedy.
In this type of tragedy we have an hero and a villan that represent evil"
Correction: There is no villain fighting against a hero. The hero is Hamlet, who has to unmask his uncle Claudius.
7) "There are also asides and soliloquies that helps the actor install a straight relationship with the audience."
There are also asides ... which enable (allow/make it possible for..to) the hero to establish a close relationship with his audience.
8) We also have (better "there is also) the apparition of a ghost, which spurs Hamlet into action.

1) "Elizabeth I applied a strong policy and she could repulse the Spanish Armada."

Elizabeth I adopoted a vigorous foreign policy, which enabled the English fleet to defeat .... <~~OK

2) Her policy was anti-Catholic and anti-Spanish.<~~OK

3) Her fleet was made up of smaller, faster ships which could defeat the Invincible Armada and its larger, heavier ships. <~~I made other corrections in here, too.

Not "she" but the English fleet was made up of small, fast ships which prevailed over the Spanish ones. <~~OK

4) OK

5) "She also overcomes her husband's doubts about the idea of committing the murder".
She tries to overcome her husband's doubts about committing the murder.<~~OK

6) "The revenge tragedy comes from the classical Greek tragedy.
In this type of tragedy we have an hero and a villan that represent evil"
Correction: There is no villain fighting against a hero. The hero is Hamlet, who has to unmask his uncle Claudius. <~~good!

7) "There are also asides and soliloquies that helps the actor install a straight relationship with the audience."
There are also asides ... which enable (allow/make it possible for..to) the hero to establish a close relationship with his audience. <~~all possibilities work fine

8) We also have (better "there is also) the apparition of a ghost, which spurs Hamlet into action.
A ghost is an apparition. Use one of those two words, but not both.

1) The sentence "Elizabeth I applied a strong policy and she could repulse the Spanish Armada" can be improved. First, it should be noted that Elizabeth I adopted a vigorous foreign policy, not just any policy. Additionally, it was the English fleet, not Elizabeth herself, that repulsed the Spanish Armada. Therefore, a better corrected sentence would be: "Elizabeth I adopted a vigorous foreign policy, which enabled her (or the English fleet) to repulse the Spanish Armada."

2) The sentence "She apply an anti-Catholic policy" contains a grammatical error. It should be "She applied an anti-Catholic policy." However, the mistake in the original statement was that the policy was not just anti-Catholic, but also anti-Spanish. So, a corrected sentence would be: "Her policy was anti-Catholic and anti-Spanish."

3) The sentence "She was able to use small and fast ships in order to defeat the Invincible Armada that have heavy ships" contains a couple of errors. First, the subject should be the English fleet, not "she." Second, it should be noted that the English fleet consisted of small, fast ships, while the Spanish Armada had heavy ships. So, a corrected sentence would be: "Not she, but the English fleet was made up of small, fast ships which prevailed over the Spanish ones."

4) The sentence "Lady Macbeth suggests her husband put on his nightgown" seems to be correct and does not require any correction.

5) The sentence "She also overcomes her husband's doubts about the idea of committing the murder" could be improved. Instead of saying "overcomes," it would be more accurate to say that Lady Macbeth tries to overcome her husband's doubts about committing the murder. So, a corrected sentence would be: "She tries to overcome her husband's doubts about committing the murder."

6) The sentence "The revenge tragedy comes from the classical Greek tragedy. In this type of tragedy we have a hero and a villain that represent evil" contains some inaccuracies. Firstly, the revenge tragedy does not come directly from classical Greek tragedy, but rather it is a distinct genre that emerged during the Elizabethan era in England. Secondly, in a revenge tragedy like Hamlet, there is no clear villain fighting against a hero. The hero is Hamlet himself, who seeks to uncover the truth and avenge his father's murder while grappling with his own internal conflicts. So, a corrected sentence would be: "The revenge tragedy is a distinct genre that emerged during the Elizabethan era. In this type of tragedy, the hero is Hamlet, who has to unmask his uncle Claudius."

7) The sentence "There are also asides and soliloquies that helps the actor install a straight relationship with the audience" can be improved. Instead of saying "helps," it would be more accurate to say that asides and soliloquies enable the hero to establish a close relationship with the audience. So, a corrected sentence would be: "There are also asides and soliloquies which enable the hero to establish a close relationship with his audience."

8) The sentence "We also have the apparition of a ghost, which spurs Hamlet into action" seems to be correct and does not require any correction. However, an alternative phrasing could be: "There is also the apparition of a ghost, which spurs Hamlet into action."