I don't cottonenjoy summer, even if most of my acquaintances love it.

"Acquaintances" is a very formal word-- you might want to change to "even if most people love it."

I dislike summer mostly because of its torridity, too long days, and insects.

"Torridity" is correct, but "I dislike summer because of its heat" is a more natural phrase.

Also, summer means holiday, so thatwhich means my parents stay at home much more often, and it equal. This leads to punishments for the slightest reasons and stress.

-"Holiday" here is a British usage. Americans would say "Summer means vacation". It's fine either way.
- You can leave it as one sentence, but it's easier to read if it's broken up.
- I understand that you want to vary your verb choice to avoid using "means" too often. "Equals" is a very casual phrasing-- I suggest "leads to" instead.

Most of the teenagers like me love summer, because ofthey have free time and the ability to hang out with their friends.

Do I have such opportunities?

This is correct, but "such" sounds very formal. I suggest "Do I have these opportunities?" or "Do I have opportunities like this?"

Not really,. I can't go outside because I get punished or, and I have a lot of work.

You have several different options for the punctuation after "Not really". A period is the cleanest, but you could use a colon (:) or semicolon (;). A comma here is incorrect, because it creates a comma splice. You could also say "Not really, because..." if you wanted to keep the comma.

Summer is horrible, and I'll never understand people who romanticize it.

Autumn is a bit better, i. It's not thatas hot as it is in summer, and I just adore how I look with an overcoat, berete, and scarf.

Since "Autumn is a bit better" is a complete sentence by itself, it creates a comma splice if you use a comma there. You could use a colon, semi-colon, or conjunction (Autumn is a bit better, because...) to get rid of the comma splice, or eliminate it by using a period.

Same isIt's the same for spring.

Next is winter.

This sentence is correct, but doesn't make sense in context-- if you're describing the seasons in order, winter does not come after spring.

It looks so bad,: there is no snow, only puddles, mud, and slush.

This is another comma splice. "It looks so bad" is a complete thought, so you can't use a comma by itself.

ThaIt's so disgusting.

But at least I can wear warm clothes, my parents don't stay at home very much at home, and I have free time.

Winter is not really my favourite season, but it's just less stressful.

I don't cottonenjoy summer, even though most of my acquaintances love it.

I'm not used to seeing "cotton" used this way colloquially.

I dislike summer mostly because of its torridity, toooverly long days, and insects.

Torridity is correct but not commonly used in everyday speech.

Also, summer means holidays, so that means my parents stay at home much more often, and it. This equaltes to punishments for slightthe smallest reasons and increased stress.

Autumn is a bit better, it's not that hot as in summer and I just adore how I look with an overcoat, berete, and scarf.

It looks so bad, t. There is no snow, only puddles, mud, and slush.