Давайте разберем каждое из предложений, чтобы выявить ошибки, связанные с использованием настоящих и прошедших глаголов, и исправить их.

1. Breakfast is an important meal. I'm always eating breakfast.

   Ошибка: В первом предложении все правильно. Однако во втором предложении "I'm always eating" лучше заменить на "I always eat" для обозначения регулярного действия.

   Исправление: I always eat breakfast.

2. During I was working in my office yesterday, my cousin stops by to visit.

   Ошибка: "During" не используется с прошедшими действиями в таком контексте. Вместо этого лучше сказать "While I was working". Также "stops" нужно заменить на "stopped".

   Исправление: While I was working in my office yesterday, my cousin stopped by to visit.

3. Portugal lays to the west of Spain.

   Ошибка: Правильная форма глагола "lay" в данном контексте - "lies".

   Исправление: Portugal lies to the west of Spain.

4. Yuki staied home because she catched a bad cold.

   Ошибка: "staied" и "catched" - это неправильные формы. Правильные формы - "stayed" и "caught".

   Исправление: Yuki stayed home because she caught a bad cold.

5. My brother is looking like our father, but I am resembling my mother.

   Ошибка: "is looking like" лучше заменить на "looks like", а "am resembling" на "resemble".

   Исправление: My brother looks like our father, but I resemble my mother.

6. As a verb, "sink" is meaning "move downward." What it means as a nou?

   Ошибка: Правильная форма - "means" вместо "is meaning". Также "nou" должно быть "noun".

   Исправление: As a verb, "sink" means "move downward." What does it mean as a noun?

7. Sang-Joon, are you listen to me? I am talk to you!

   Ошибка: "are you listen" должно быть "are you listening", а "I am talk" - "I am talking".

   Исправление: Sang-Joon, are you listening to me? I am talking to you!

8. I rewinded the rented video before I return it to the store yesterday.

   Ошибка: "rewinded" должно быть "rewound", а "return" - "returned".

   Исправление: I rewound the rented video before I returned it to the store yesterday.

9. Abdallah is want a snack. He's being hungry.

   Ошибка: "is want" должно быть "wants", а "is being hungry" лучше заменить на "is hungry".

   Исправление: Abdallah wants a snack. He's hungry.

10. Anna rose her eyebrows in surprise.

    Ошибка: "rose" должно быть "raised".

    Исправление: Anna raised her eyebrows in surprise.

11. Yesterday I was working at my computer when Shelley was coming to the office. I wasn't knowing she was there. I was concentrate hard on my work when she suddenly speak, I am jump. She startle me.

    Ошибка: "was coming" должно быть "came", "wasn't knowing" - "didn't know", "was concentrate" - "was concentrating", "suddenly speak" - "suddenly spoke", "I am jump" - "I jumped", "startle" - "startled".

    Исправление: Yesterday I was working at my computer when Shelley came to the office. I didn't know she was there. I was concentrating hard on my work when she suddenly spoke, I jumped. She startled me.

12. While I was surfing the net yesterday, I was finding a really interesting w.

    Ошибка: "was finding" лучше заменить на "found".

    Исправление: While I was surfing the net yesterday, I found a really interesting w.

Таким образом, мы исправили все предложения, устранив ошибки в использовании глаголов. Если у вас есть вопросы по какому-либо из исправлений, не стесняйтесь спрашивать!