1. What are the dangerous things which can happen around us? (Is this OK?)

2. What did Mina's friends and Giho's friends each submit homework about?

2-1. About what did Mina's friends and Giho's friends each submit homework?
(Are both correct? Which one is a colloquial expression?)

3. Rules are important for each group.
3-1. Rules are important to each group.

(Which preposition do I have to use? Are both OK?)

4. Therefore, people have to obey the rules in their group.

4-1. Therefore, people have to obey the rules in their groups.
(Are both OK? Do we have to use the singular 'group' or the plural 'groups'?))

5. There are also many rules in sports.
5-1. Also there are many rules in sports.
5-2. There are many rules in sports also.
(What is the right position of 'also'?)

6. At the corner of the street, you must wait for the green light.

6-1.At the corner on the street, you must wait for the green light.

6-3. At the corner in the street, you must wait for the green light.

(Which preposition do we have to use before 'the street' in this case?)

1. What are the dangerous things which can happen around us? (Is this OK?)

It's fine, yes.

2. What did Mina's friends and Giho's friends each submit homework about?
2-1. About what did Mina's friends and Giho's friends each submit homework?
(Are both correct? Which one is a colloquial expression?)
It would be smoother to say this: What did Mina's and Giho's friends submit homework about?

3. Rules are important for each group.
3-1. Rules are important to each group.
(Which preposition do I have to use? Are both OK?)
They have slightly different meanings, but both are grammatically correct. "For each group" means that the rules are governing those groups. "To each group" means that each group considers the rules important.

4. Therefore, people have to obey the rules in their group.
4-1. Therefore, people have to obey the rules in their groups.
(Are both OK? Do we have to use the singular 'group' or the plural 'groups'?))
Either is fine, depending on what you mean. Do the people belong to different groups?

5. There are also many rules in sports.
5-1. Also there are many rules in sports.
5-2. There are many rules in sports also.
(What is the right position of 'also'?)
It's fine in any of those postions, but probably #5 is most commonly used.

6. At the corner of the street, you must wait for the green light.
6-1.At the corner on the street, you must wait for the green light.
6-3. At the corner in the street, you must wait for the green light.
(Which preposition do we have to use before 'the street' in this case?)
The first one is best.

=)

1. What are the dangerous things which can happen around us? (Is this OK?)

Yes, this question is grammatically correct.

2. What did Mina's friends and Giho's friends each submit homework about?

Both sentences are correct and have the same meaning. However, "2-1. About what did Mina's friends and Giho's friends each submit homework?" is more formal and less commonly used in everyday conversations.

3. Rules are important for each group.
3-1. Rules are important to each group.

Both prepositions - "for" and "to" - can be used in this context, but they convey slightly different meanings. "Rules are important for each group" implies that rules are necessary in order for the group to function effectively or achieve its goals. On the other hand, "Rules are important to each group" suggests that the group values and respects rules as an integral part of its identity or principles.

4. Therefore, people have to obey the rules in their group.
4-1. Therefore, people have to obey the rules in their groups.

Both sentences are grammatically correct, but they convey different meanings. "Therefore, people have to obey the rules in their group" suggests that each person has their own group, and they must obey the rules of their respective groups. "Therefore, people have to obey the rules in their groups" implies that there are multiple groups, and people must obey the rules of the groups they belong to.

5. There are also many rules in sports.
5-1. Also there are many rules in sports.
5-2. There are many rules in sports also.

The correct position of "also" in this context is at the beginning or towards the end of the sentence. Therefore, "There are also many rules in sports" and "There are many rules in sports also" are both correct. However, "Also there are many rules in sports" sounds less natural and is less commonly used.

6. At the corner of the street, you must wait for the green light.
6-1.At the corner on the street, you must wait for the green light.
6-3. At the corner in the street, you must wait for the green light.

The correct preposition to use before "the street" in this case is "on." Therefore, the correct sentence is "At the corner on the street, you must wait for the green light." Using "in" or "of" in this context would not accurately convey the intended meaning.