Task 2 appears to part of a student exercise or a test. I'll answer here but the Grammar Questions page would have been a better page for the submission.
By the way, when a question with a name and a place given is received, it always goes to the top of my list. Just a personal preference.
Original Text with corrections and notes:
The HSBC building in Central is over 300 meters height.This sentence can be corrected in two ways.
1. The HSBC building in Central is over 300 meters in height.
2. The HSBC building in Central is over 300 meters high.
She´s a very well dancer.The adverb "well" should be changed to an adjective.
She is a very good dancer.Correct
She sings good too.The adjective "good" should be changed to an adverb.
She sings well, too.Correct
Accountants need a lot of patient in their job.A "patient" is a person consulting a medical professional. The personality trait "patience" is what an accountant needs.
Correct: Accountants need a lot of patience in their job.
The economy climate changes quite rapidly."Economy" is a noun form and should be changed to an adjective.
Correct: The economic climate changes quite rapidly.
If I´ve done something wrongly, I´ll try to put things right.The incorrect adverb "wrongly" should be changed.
Correct: If I´ve done something wrong, I´ll try to put things right.