Andrew: On public holiday, we always meet our relatives.
Correct: On a public holiday, we meet our relatives.
Explanation: The indefinite article "a" refers to a certain or particular thing.

Andrew: And then all of us talk about daily issue.
Correct: We usually tallk about the every day issue.
Explanation: You can also say "every day".

Andrew: We are cooking foods that are ribs and stir-fried noodles and vegetables
Correct: We cook food like ribs, stir-fried noodles, and vegetables.
Explanation: We use Present Tense. It is used to describe actions that are factual or habitual -- things that occur in the present but that are not necessarily happening right now. Present Progressive is different  which means that something is, in fact, going on right now. The punctuation mark(,) indicating a slight pause in the spoken sentence.

Andrew: After we ate food enough, we playing a card game which is go stop
Correct: Afterwards, we play a card game.
Explanation: You could use "afterward" which means later or after the said activity.

Andrew: Me and my family usually sleep in relative's house.
Correct: Me and my family usually sleep at our relative's house.

Andrew: So, we always have a good time on public holiday.
Correct: So, we always have a good time on a public holiday.
Explanation: The indefinite article "a" refers to a certain or particular thing.

Hi, Andrew! It seems that you always enjoy the activities that you have on a public holiday. That's great. Anyway, thank you for submitting your homework. Good job!

-Teacher Isabel