The messed nMissing Note

I liked that note, because I wrote itit was very cool.

It was about this beautiful part of the day.

By the way, I had been sleeping only three hours, because my thoughts were busy to createing an interesting description of my life.

"Depiction" would be an even better word for "description," in this case.

After publication, the current streak changed.

What you put before would pass in anything informal. We call it "telegraphic speech," as it leaves out some of the less necessary aspects of our language. I corrected it, though, just in case.

I liked that note, because I wrote itit sounded very cool.

I'd also consider "poetic" instead of "cool"

After publication, my current streak changed

The messed up note

I don't think I've commonly heard "messed" used as an adjective on its own. But "messed up" is very common for saying that something didn't quite go right.

Unfortunately, my last notepost didn't save, so my current streak in LangCorrect is zero.

A "note" is something which you write to remind yourself or someone else of something, and they are generally boring and purely practical. "Post" might work better here, especially because this is an online service.

I liked that notepost, because I wrote it in a very cool manner.

Alternatively: "...because it came out really cool." Or, "...because it felt very cool."

I wrote that notepost at night.

It was about this beautiful part of the day.

By the way, I had been sleeping only three hours, because my thoughts were busy trying to create an interesting description of my life.

A slightly more natural alternative to the first part of this sentence might be: "By the way, I had only gotten three hours of sleep..." (and we might use "about" before the number if it is only an estimate).

Also, instead of "my thoughts were...", you might say "my mind was...". Both are right, but native speakers would probably tend towards the latter.

After publication, current streak changed

A comma can help make this a bit clearer.