sSomething about the nmyself on New yYear myself’s Day

The original didn’t really make much sense. You could also say something like “my new year self” or “myself in the new year”, but that would likely suggest that you’re talking about a New Year’s resolution.
Since it seems like you’re talking about the one specific day, I think this would work best instead

On New yYear’s Eve I sat in the maliving room on a hard sofa with my sister.

You need to use the preposition “on” for a day such as New Year’s Eve
“Main room” is also ok, but assuming that you meant living room that would be the more commonly used phrase I think

In the morning, I somehow felt sick for some reason.

Optional, but I prefer how “for some reason sounds” (completely personal preference though)

I felt lonely aton the first day of the new year.

Again, days use the preposition “on”

The house was in solelycomplete silent, ce, like a prison with transparent windows on wallwindows, but everything was trapped inside.

I’m not entirely sure what you meant here, so I’ve just changed it to what I think you might have meant
I can see what you meant by “solely”, but it would be used to describe verbs (like if someone is doing something in complete solidarity, or is in a state which doesn’t relate to anyone else). I will admit though that I also can’t really think of a good word to replace it.
Silent is an adjective (so you could say “the house was completely silent”), but your use of “in” means that it would have to be followed by a noun (or an adjective AND a noun). “Silence” is the noun form of “silent”, and hence “silent” is changed to “silence”.
“Windows” implies that it would be transparent and on the walls, so I deleted “transparent” and “on (the) walls” to make it more concise.

However, I don’t really feel like this comparison is the best (personally I find it a little confusing). I would probably replace “like a prison with windows, but everything was trapped inside” with “as if it was/had been abandoned” or something like that, which would also bring back the idea of it being kind of lonely. If you really wanted to play into the dramatic side of the abandonment you could replace “the house was in complete silence” with “the house was completely silent, and it had an eerie feel to it”. This would make the whole sentence “the house was completely silent, and it had an eerie feel to it, as if it had been abandoned”

An email, within piles ofamong many advertisements, was from my friend, wishing me happy new year, and it came in at 5 a.m this morning from China.

This is really nitpicky, but the “within piles” kind of made it feel as if it was physical mail, especially because of the “piles” which made me imagine a stack of mail which was mostly advertisements plus the one letter from your friend.

If you wanted to make it more concise, you could also delete the part about the advertisements (“among many advertisements/within piles of advertisements”) since they aren’t really too important to the text.

I am happy that someone else reactually remembered me.

I prefer how “actually” sounds.
You would say “remembered” or “remembers”.
To me, “remembered” feels like your referring specifically to that moment in the past, while “remembers” talks a lot more about the present which makes it sound like that friend is the only person you have with you (it kind of makes it sound really sad as well)