Here are the mistakes underlined and the correct versions rewritten:

1. My father was **drive** to work when he saw an accident on the road.
**Correction:** My father was **driving** to work when he saw an accident on the road.

2. Ngoc was dancing in her room while her brother were playing video games.
**Correction:** Ngoc was dancing in her room while her brother **was** playing video games.

3. The volunteers made a meaningful **contribute** to the local orphanage.
**Correction:** The volunteers made a meaningful **contribution** to the local orphanage.

4. Linda wishes she has a new smartphone and a new bike.
**Correction:** Linda wishes she **had** a new smartphone and a new bike.

5. I want to **observation** the changing colours of the leaves in autumn.
**Correction:** I want to **observe** the changing colours of the leaves in autumn.

6. I was waiting for the bus when I **realise** I had forgotten my umbrella.
**Correction:** I was waiting for the bus when I **realized** I had forgotten my umbrella.

7. We wish that our parents didn't have to work so hard.
**Correction:** No mistakes in this sentence.

8. Cultural **preserve** includes safeguarding intangible heritage like music and dance.
**Correction:** Cultural **preservation** includes safeguarding intangible heritage like music and dance.

9. He **fixing** the car in the garage for weeks because it kept breaking down.
**Correction:** He **has been fixing** the car in the garage for weeks because it kept breaking down.

10. Minh and Quang **are having** a picnic in the garden at 3 p.m. last Saturday.
**Correction:** Minh and Quang **had** a picnic in the garden at 3 p.m. last Saturday.

11. She **wish** she had a villa with a swimming pool and a beautiful garden.
**Correction:** She **wishes** she had a villa with a swimming pool and a beautiful garden.

12. We should **protected** valuable artifacts from being stolen or sold illegally.
**Correction:** We should **protect** valuable artifacts from being stolen or sold illegally.

13. I wish I could reading minds and know what people are thinking.
**Correction:** I wish I could **read** minds and know what people are thinking.

14. The baby was sleeping peacefully when the phone will ring loudly.
**Correction:** The baby was sleeping peacefully when the phone **rang** loudly.

15. My sister **attends** a cooking class to learn how to make new recipes three months ago.
**Correction:** My sister **attended** a cooking class to learn how to make new recipes three months ago.