The messed up note 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.

The messed nMissing Note The Missing Note

The mMessed nNote The Messed Note

Unfortunately, my last notepost didn't save, so my current streak in LangCorrect is zero. Unfortunately, my last post 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. I liked that post, because I wrote it in a very cool manner.

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

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

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

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

I liked that note, because I wrote it very coowell. I liked that note, because I wrote it very well.

I wrote that notepost at night. I wrote that post at night.

It was about this beautiful part of the day. It was about this beautiful part of the day.

It was about this beautiful part of the day. 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. 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.

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

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

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

After publication, current streak changed After publication, current streak changed

A comma can help make this a bit clearer.

After publication, my current streak changed After publication, my current streak changed

After publication, the current streak changed. 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.