Travels are fun. Last year, I went to Jeju  Island and Gyeongju. When I went to Jeju, I went with some acquaintances, and when  I went to Gyeongju, I went with my cousins. I’ve been to Jeju, But I haven’t been > to Gyeongju, so I was excited the day before I went to Gyeongju. I want to go  to China this year. I love travels, but my brothers don’t.

  Student's sentence            Corrected sentence            Grammar explanation          Better sentence     

Student’s Sentence: Travels are fun.
Corrected Sentence: Traveling is fun.
Grammar Explanation: "Traveling" is the natural gerund form used to talk about the activity in general.
Better Sentence: Traveling is fun because I enjoy visiting new places.

Student’s Sentence: I’ve been to Jeju, But I haven’t been to Gyeongju, so I was excited the day before I went to Gyeongju.
Corrected Sentence: I had been to Jeju before, but I had never been to Gyeongju, so I was excited the day before my trip.
Grammar Explanation: Use "had been" to describe an experience that happened before another event in the past. Also, "but" should not be capitalized in the middle of a sentence.
Better Sentence: I had visited Jeju before, but I had never been to Gyeongju, so I was very excited before the trip.

Student’s Sentence: I love travels, but my brothers don’t.
Corrected Sentence: I love traveling, but my brothers don’t.
Grammar Explanation: Use the gerund "traveling" to talk about the activity or hobby.
Better Sentence: I love traveling, but my brothers are not very interested in it.

Better Paragraph
Traveling is fun because I enjoy visiting new places. Last year, I went to Jeju Island and Gyeongju. When I visited Jeju, I went with some acquaintances, and when I visited Gyeongju, I went with my cousins. I had visited Jeju before, but I had never been to Gyeongju, so I was very excited before the trip. I want to go to China this year. I love traveling, but my brothers are not very interested in it.