Hello! Allow me to make corrections for you:

I’d like to introduce my family. There are four people in my family: my father, my mother, younger brother, and me. My father is 53 years old, and a truck driver. He’s a little strict, but sometimes he’s kind. When I was a child, we went to the park. My mother is 47 years old. She works a part time job. She likes reading books, and reads “Anne of Green Gables”. My younger brother is 15 years old, and a high school student. He likes cooking and would like to be a chef in the future.

My brother and I don’t look alike in our faces. My brother looks like our father, and I look like our mother. Most people look our picture and tell me, “You and your brother don’t look alike”. I often brawled with my brother over 5 years ago but then we started to talk more.

We enjoy talking in my home every weekend. We sometimes go to the mall, but we’re in the home most of time. I really feel relaxed in my home because I think we’re close family. We’re planning to eat out sometime soon. I can’t wait to eat out with my family.

I appreciate everything about my family. If they’re in trouble, I’d like to help them as fast as possible.

* Nice job. Keep up the good work!!

Remember that professions are preceded with an "a" or an "an".

I am a tutor.

I am also a guitar teacher.

I have a job.

My family!

I’d like to introduce you to my family. There are four people in my family: my father, my mother, my younger brother, and me. My father is 53 years old, and is a truck driver. He’s a little strict, but sometimes he’s kind. When I was a child, we often went to the park. My mother is 47 years old. She works at a part-time job. She likes reading books,(I don't know exactly what you mean here but it's not quite right) and reads “Anne Of Green Gables”. My younger brother is a 15 year old high school student. He likes cooking and would like to be a chef in the future.

My brother and I don’t look alike. My brother looks like our father, and I look like our mother. Most people look at our picture,  then say “You and your brother don’t look alike." I often brawled (this means to physically fight him) with my brother when we were 5 years younger but then we started to talk more.

We enjoy talking about something in my home every weekend(Again, this sentence is wierd because I'm not sure what you mean by it). We sometimes go to the mall, but most of time we’re at home. I feel really relaxed in my home because we’re such a close family. We’re planning to eat out sometime soon. I can’t wait to eat out with my family.

I appreciate everything about my family. If they’re in trouble, I’d like to help them as much as possible.

My family!

I’d like to introduce my family. There are four people in my family; my father, my mother, younger brother, and me. My father is 53 years old, and truck driver. He’s a little strict, but sometimes he’s kind. When I was a child, we went to a(here if you use the it refers to a specific park but you have not specified which park so you must use a) park. My mother is 47 years old. She does a part time job. She likes reading books, and mostly reads “Anne Of Green Gables”. My younger brother is 15 years old, and a high school student. He likes cooking and likes to be a chef in the future.

My brother and I don’t look alike in our faces. My brother looks like our father, and I look like our mother. Most of people looked our picture, and then they said to me “You and your brother don’t look alike”. I often brawled with my brother over 5 years ago but we started to talk more.

We enjoy talking something in my home every weekends. We sometimes go to a mall, but we stay in our home most of the time. I really feel relaxed in my home because I think we’re a close family. We’re planning to eat out sometime soon. I can’t wait to eat out with my family.

I appreciate everything about my family. If they’re in trouble, I’d like to help them as soon as possible.

My family!

I’d like to introduce about my family. There are four people in my family; my father, my mother, younger brother, and me. My father is 53 years old, and a truck driver. He’s a little strict, but sometimes he’s kindly. When I was a child, we went to the park. My mother is 47 years old. She works a part time job. She likes reading books, and reads “Anne Of Green Gables”. My younger brother is 15 years old, and a high school student. He likes cooking and would like to be a chef in the future.

My brother and I don’t look alike in our faces. My brother looks alike like our father, and I look alike like our mother. Most of people who have looked at our picture have said to me “You and your brother don’t look alike”. I often brawled with my brother over 5 years ago but we started to talk more.

We enjoy talking in our  home every weekends. We sometimes go to the mall, but we’re in the home most of time. I really feel relaxed in my home because I think we’re a close family. We’re planning to eat out sometime soon. I can’t wait to eat out with my family.

I appreciate my entire family. If they’re in trouble, I’d like to help them if possible.