"Don't you like skating? Yes, I do. No, I don't." This is correct. "Yes, I will," and "No, I won't," would be correct answers to a different question: "Will you go skating?"

1)No, I dont 2) Actually, I do 3)

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Don’t you like? → No, I don’t./No, I do!/ Yea, I don’t.. Will you like? → Yes, I will!/ No, I won’t. ————————————————————- whatever is used in the question, should be used in the answer Have you done? → Yes, I have./ No, I have not. May I go? → Yes, you may./ No, you may not.