Thank you very much for helping me.

I just want to make sure that all the alternatives are possible.
1) I like spending time on the net (Can you say that?)
2) I lived in London until the age of two. (better: until I was two years old; up to the age of two?)
3)Most of my classmates (the majority of my classmates) come to school either by car or by bus. Only a few among them walk or cicle to school.
4) All of my classmates have lunch at home or at a cafè because the school hasn't got a school canteen.
5) They can't choose their examination subjects. Some among (of) us do a part-time job in the summer. They do a paper round .

In #1, you should probably have an apostrophe -- on the 'net -- since it's a shortened form of "Internet."

#3 - spelling -- cycle

#5 - no "of" and change "do" to "have"
(I have no idea what the last sentence means.)

1) Yes, you can say "I like spending time on the net." It is a common phrase used to express that you enjoy using the internet.

2) "I lived in London until the age of two" is a correct sentence. However, to make it sound more natural, you can say "I lived in London until I was two years old" or "I lived in London up to the age of two."

3) "Most of my classmates come to school either by car or by bus" is a correct sentence. Another way to express it is "The majority of my classmates come to school by car or by bus." It is also fine to say "Only a few among them walk or cycle to school."

4) "All of my classmates have lunch at home or at a café because the school hasn't got a school canteen" is a correct sentence. However, to make it sound more natural, you can say "All of my classmates have lunch at home or at a café because the school does not have a school canteen."

5) "They can't choose their examination subjects. Some among us do a part-time job in the summer. They do a paper round" is a correct sentence. Another way to express it is "They cannot choose their examination subjects. Some of us do a part-time job in the summer, such as a paper round." In this case, "such as" adds more clarity to the sentence. Additionally, instead of using "among," you can also use "of" to say "Some of us do a part-time job."