The Tokyo area is facing a very strongevere cold winter now!

Suggestion: avoid adverbs as much as possible. Words like "very" don't add more information. Writing is simple, clear, make the job of the reader easy.

Please keep warm or r. Reading my posts can make you go fall asleep quicker.¶
¶
To go to sleep = Okay, it's 10 pm. Time to go to bed (or) Time to go to sleep. ¶
To fall asleep = the process while you're in bed. I fall asleep as soon as my head hits the pillow. (That's me.) I have no trouble falling asleep.¶
to get to sleep = the process while you're in bed. He has no trouble getting to sleep. She has trouble getting to sleep.

WhatHow was your First week of 2022? What did you do the first week of 2022?

My first week of 2022 was in a crazy modecrazy.

In my work, I make a mistake and (some people make a mistake to me. = meaning not clear to me).¶
¶

But I still geot away!!! (again, write, let me know exactly what you mean and we'll find the exact words)

As a result, even smart a person like me still needs to admit “luck” controls everything.

Without “luck” this week will become a “hell” to me..”¶
¶

With “good luck” I can keep a smile faceing.

The Tokyo area is facing a very strong, cold winter right now!

Please keep warm or r. Reading my post can make you go sleep quicker.

I think I would make these two separate sentences. If you have "or" it makes it sound like the reader only has the choice of keeping warm or falling asleep by reading your post, when in reality they could do both so it's not an either-or situation.

WhatHow was your First week of 2022?

My first week of 2022 was in a crazy modecrazy.

I think it's much more common to say, "My first week of 2022 was crazy".

In myAt work I make a mistake and some other people make ade the same mistake toas me.

I didn't quite understand the second part of your sentence, "made a mistake to me", so I kind of guessed on what I think you could have possibly meant. Let me know if this is what you were trying to express, if not, then I can try to suggest another way to phrase it.

But I still geot away!!!

I changed this to the past tense since it sounds like this story is talking about your week was instead of how it is currently going.

How canould this have happened to me!

I think it's much more common to say, "How could this...". It's a very common way of phrasing it in English.

As a result, even smart personople like me still need to admit “luck” controls everything.

Another option is would be, "At the end of the day, even smart people like me...". If I were speaking I think I'd say it this way instead of "As a result" for this situation.

Without “luck” this week will become a “hell” to me.

I think "a" is optional here. My first instinct was to omit it, but I could see it either way so it's probably more of a preference thing.

With “luck” I can keep a smile on my face.