Answer:
One Opinion:
Your name is very important! It identifies who you are, and if you don't have one, it's like you don't exist. You sign your name on your checks, you give your name when greeting people you don't know, you label your property with your name, and people won't know what to call you. It would be funny if somebody you knew said "Hey, Person, look at this!". Personally, I think that "person" is very generic for a description of someone.

Another Opinion:
A name is a quality with utility.

As a quality, it identifies who you are, and if you don't have one, others may find it more challenging to refer to you, and the ability to refer to and identify a subject is integral to complex communication. In English, it'd be naturally troubling to explain to someone that you wanted a chair if the word "chair" was nonexistent.

It has utility in that, you use it to sign it on your checks, greet others, and label your property. A unique name, such as "John", accomplishes these things by helping separate you from the rest, while a general name, such as "person", does not.

A name is not important in that it is a necessary quality to have, however it may be an important factor to include when it becomes, quite literally, the subject in language.

From hxw.red's Note: There are comments associated with this question. See the discussion page to add to the conversation.

名字很重要

"BOOBOO" was my first English name. It was just my Chinese nickname's pronunciation. My Engish teacher who came from USA said the name like a little pet, and I had to change it. He gave me a name "Beth" which I used in that English lesson. I even could not say "th" clearly in that time.

After graduated from college, I did a part time job in a Japanese style's bar at night. Every waitress had a beautiful Japaness name. I desided to use the name of "Ayumi" as my Japanese name in the bar. "Ayumi" is a famous singer in Japan. I hoped customers could remenber my name easily.

Now, my husband is preparing IELTS. he suggest I should get a English name which we can use in future. "Alice" is a good idea. It's simple and nice. I downloaded Alice In Wonderland (2010 film) in office, and watched it with my husband at home. But he fell asleep during the film. I thought he enjoyed the film also, but the overtime was too tired for him. It is an extension of novels Alice's Adventures in Wonderland ant Through the Looking-Glass. The film uses a technique of combining live action and animation. I copied some sentences from wiki. Wiki is really helpful and convenient.

I need to achieve the average score of 4.5 points to pass functional English. It's not very difficult for me. But my husband had to got a band score of at least six on each of the four components – speaking, reading, listening and writing. My colleague told me that her boy friend used to recite English words outside in winter in order to concentrate. International English Language Testing System baffls us.