1) I like to speak English.
Общий: Do you like to speak English? Yes, I do.
Специальный: What language do you like to speak?
Разделительный: You like to speak English, don’t you?
Вопрос к подлежащему: Who like to speak English?
Альтернативный: Do you like to speak English or French?
2) Kate likes to speak English.
Does Kate like to speak English? Yes, she does.
What language does Kate like to speak?
Kate likes to speak English, doesn’t she?
Who likes to speak English?
Does Kate like to speak English or Chinese?