Nowadays

"Nowadays" isn't a word you'd typically use for the sentiment of catching up with someone.
Alternatives: How Things Are Going / News About My Life

Long time, no see you.

My life is going normally going.

A bit unnatural; I would suggest "My life has been going fine."
Using "has been" instead of "is" includes how your life was in the past (since your last post) and also including how your life is right now in the present.

I am looking for a job, but nowadays companiescurrently the economy is very bad.

Sometimes this is situation I feelmakes me very upset.

When something causes you to feel an emotion, it can be phrased like this. Another example, "Watching the sunrise makes me happy"

I am going to English courses and improving my job skills.

I have to t. There is someone I miss, but this story has no end.

The original sentence doesn't make sense. Here, if we leave "I have to," it means that you must attend English courses and improve your job skills (unrelated to the person you miss).

The part "this story has no end" is vague, I'm not sure what you mean by it. It could mean you will always miss this person, or that this job search and skill-building will never end

DIt doesn't matter l. Life i(keeps going life/ goes on / continues).

I believe toin destiny.

We believe "in" things

Who'at is yours finds you. I hope to your life is going to goodwell.

Changed "good" to "well" because it is an adverb for "going"

See you soon agaiagain soon.

Take care (of yourself) :)

You can just say "take care," but if you include "of" you need "yourself" too