I'm not sure when I write some these phrases.
1. a nose of mine, a heart of mine, a leg of mine.
2. a wife of mine, a husband of mine, a son of mine, a friend mine.
3. a car of mine, a house of mine, a pen of mine, a song of mine.
4. a love of me, a mistake of me, a hobby of me, a story of me, a song of me (it means, it is a song about me, right?)
Which ones are wrong? I'm not sure to understand the word 'belong' that you mean in the case '...of me'. Could you give me some examples? Thank you for your help again!

Sorry for the delay in getting back to you.

Phrases in 1, 2 and 3 in your last post are all correct. However, using a phrase such as "... of mine" is probably more suited to providing emphasis in your sentences. For example, "I've never had a car like this, constable. So you will just have to look elsewhere for its true owner. It's no car of mine, I can assure you!" It is also more suited to poetry and lyrics of songs, for example, "This little light of mine, I'm going to let it shine!" In everyday language, if you don't intend emphasis, you would more like just want to say: "my nose", "my heart" etc.

Phrases in 4 are not correct: instead you should use "mine" just as you have used in phrases in 1, 2 and 3, or just say "my love", "my mistake" etc. However, again, you would use "of mine" more for emphasis.

Concerning the word "belong": to belong means to own, to possess or even to be part of. Consider the following examples:
1. "That bicycle belongs to me. I own it and I am in possession of it. It is my bicycle. It is mine."

2. "That is my family. It is mine, not yours. I am part of that family. I belong to it." Here, you are not saying that the family owns me, but that you are a part of it.

3. "That is not my family. It is not mine. I am not part of that family. I don't belong to it. It is no family of mine." The last part of this - "It is no family of mine." is used in emphasis.

4. "I belong to Glasgow" is a well-known Scottish song about being an inhabitant of the Scottish city, Glasgow. The person singing it is not saying that the city owns him! Instead, he is saying that he is part of the life and people of the city, and that he lives there!

I hope some of the above is of further help to you. Please do come back to me should you need more guidance.

Sincerely,
mjm

Correcting some of my own mistakes!!! See corrected version below!

Sorry for the delay in getting back to you.

Phrases in 1, 2 and 3 in your last post are all correct. However, using a phrase such as "... of mine" is probably more suited to providing emphasis in your sentences. For example, "I've never had a car like this, constable. So you will just have to look elsewhere for its true owner. It's no car of mine, I can assure you!" It is also more suited to poetry and lyrics of songs, for example, "This little light of mine, I'm going to let it shine!" In everyday language, if you don't intend emphasis, you would more likely just want to say: "my nose", "my heart" etc.

Phrases in 4 are not correct: instead you should use "mine" just as you have used in phrases in 1, 2 and 3, or just say "my love", "my mistake" etc. However, again, you would use "of mine" more for emphasis.

Concerning the word "belong": to belong means to own, to possess or even to be part of. Consider the following examples:
1. "That bicycle belongs to me. I own it and I am in possession of it. It is my bicycle. It is mine."

2. "That is my family. It is mine, not yours. I am part of that family. I belong to it." Here, you are not saying that the family owns you, but that you are a part of it.

3. "That is not my family. It is not mine. I am not part of that family. I don't belong to it. It is no family of mine." The last part of this - "It is no family of mine." is used in emphasis.

4. "I belong to Glasgow" is a well-known Scottish song about being an inhabitant of the Scottish city, Glasgow. The person singing it is not saying that the city owns him! Instead, he is saying that he is part of the life and people of the city, and that he lives there!

I hope some of the above is of further help to you. Please do come back to me should you need more guidance.

Sincerely,
mjm

- I want to say, thanks a lot to you. Thanks for explaining that for me. Thanks for your words "Please do come back to me should you need more guidance". So, I have fun here.
- "A picture of me" and "a picture of mine". I know, they are different but I'm not sure about them.
1. If something belongs to me, I can say, "....of mine"
2. If I am in something, I can say, "....of me"
And I wonder, are there any phrases as " .....of me" else? Can you give me some examples, "......of me/of you/ of him/..." ? Then, I want to find the difference between them, like "a picture of me" and "a picture of mine".

Thank you for your nice comments!

Yes, you are correct with your summary in sentences 1. and 2. in your last message.

Here are some other examples for you. Try to work out which phrases are indicating something "belonging/ being owned", and which phrases are indicating something being depicted/ providing the likeness of:

1A. "In this photograph, you can see that my twin brother is the spitting image of me."
1B. "In this photograph, you can see that Marko, a brother of mine, is the spitting image of me."
1C. "In this phtograph, you can see that Marko, one of my brothers, is the spitting image of me."

2A. "I saw a picture of your face in one of my newspapers."
2B. "I saw a picture of your face in one of these newspapers of mine."
2C. "I saw a picture of yours lying on the floor. You need to be more careful with your property."
2D. "I saw a picture belonging to you on the floor. You need to be more careful with your property."

3A. "Concerning the culprit, the woman gave a good description of him to the police."
3B. "Concerning the culprit, the woman provided the police with a photograph of his, which she had found in his house, and which showed his face very well."

Have a go!
Sincerely,
mjm

Thank you again. I agree your explaining. I have no questions about it. I appreciate your help!