Can you please help me check this paragraph containing several grammar mistakes? Thank you.

1) Caliban is a sort of monster half man half beast. There is hostility between Prospero and Caliban.
2) Thanks to is magic art Prospero subdued all the spirit living on the island, together with Caliban, into his service.
3) Caliban claimed to own the island which belongs to him because sykorax left it to him.
4) Caliban plans to kill Prospero but Ariel listens to him taliking with Trinuculo and Stephano and reports their plan to Prospero.
5) When Prospero first go on the island, he petted him and took care of him.
6) Caliban wished he could use all the magic spell of Sykorax against him.
You should have used the past simple to refer to Prospero's and Miranda's behavious towards Caliban when they first arrived on the island.

1) Caliban is a sort of monster -- half man and half beast. There is hostility between Prospero and Caliban.

2) Thanks to his magic art, Prospero subdues all the spirits living on the island, including Caliban, into his service.

3) Caliban claimed to own the island which belongs to him because sykorax left it to him. <~~This doesn't make sense to me. To whom does each "him" refer?

4) Caliban plans to kill Prospero, but Ariel listens to him talking with Trinuculo and Stephano and reports their plan to Prospero.

5) When Prospero first goes onto the island, he petted him and took care of him. <~~Again, this doesn't make sense to me. To whom does "he" and each "him" refer?

6) Caliban wishes he could use all the magic spells of Sykorax against him. <~~"him" = ??
You should have used the past simple to refer to Prospero's and Miranda's behaviour towards Caliban when they first arrived on the island.

1)Caliban is a sort of monster- half man, half beast. There is hostility betweem Prospero and Caliban.

2)Thanks to his magic art, Prospero subdues all the spirits living on the island, including Caliban, into his service.

3)Caliban claimed to own the island. It belonged to him because Sykorax left it to him.

4)Caliban plans to kill Prospero, but Ariel listens to him talking with Trinuculo and Stephano. He reports their plan to Prospero.

Sure, I'd be happy to help you check your paragraph for grammar mistakes. Here are the corrections and explanations for each sentence:

1) Caliban is a sort of monster, half man, half beast. There is hostility between Prospero and Caliban.
Explanation: I added commas to separate the description of Caliban.

2) Thanks to his magic art, Prospero subdued all the spirits living on the island, including Caliban, into his service.
Explanation: I changed "is" to "his" and added a comma before "Prospero" to indicate possession. I also added "including" to clarify that Caliban was one of the spirits.

3) Caliban claimed to own the island, which belongs to him because Sykorax left it to him.
Explanation: I added a comma before "which" to separate the clause describing the ownership of the island.

4) Caliban plans to kill Prospero, but Ariel listens to him talking with Trinculo and Stephano and reports their plan to Prospero.
Explanation: I added a comma before "but" to separate the clauses, and I replaced "taliking" with "talking" for correct spelling.

5) When Prospero first arrived on the island, he petted him and took care of him.
Explanation: I changed "go" to "arrived" to reflect the past tense. It seems like "him" refers to Caliban, but without more context, it's not entirely clear.

6) Caliban wished he could use all the magic spells of Sykorax against him.
Explanation: I changed "spell" to "spells" to match the plural form. "Him" likely refers to Prospero, but again, without more context, it's not entirely clear.

Regarding the last part of your request about using the past simple tense, it seems you are referring to the behavior of Prospero and Miranda towards Caliban when they first arrived on the island. However, since there is no specific information provided in the paragraph about this behavior, I can't make any corrections. If you could provide more details, I would be happy to help further.