I think that challenges wthat they are hard for me to do or finish for me are necessary for my life.

"for my life" is grammatically correct in the revised sentence but sounds redundant to me after you already wrote "for me". I left it to preserve as much of your original idea as possible.

You could also revise it to:

I think that difficult challenges that are hard to even start, nevermind complete--are necessary in my life.

"for my life" vs "in my life"

"For my life" in this context conveys that this is literally necessary to sustain your life. You would literally die if you didn't have it.

Oxygen is necessary for my life.
Food is necessary for my life.

"In my life" is most likely what you're try to convey. It is needed to maintain your idea of a fulfilling life.

Fun is necessary in my life.
Travel is necessary in my life.

I guess that I should exceedovercome the high wall ws that I encounter in my life.

You're using the imagery of a wall in this sentence, so the word: "exceed" sounds misplaced to me. "Overcome" is just a suggestion. There are many words you could use that give the imagery of you climbing over a wall that represents your challenge.

To do this, I need to do challenges!

Alternatives:
To do this, I need to be challenged

To do this, I need a challenge.

Anyway, recently, I challenged one thidid one challenge.

More natural.

In this backgroundmy condition, I couldn’t do any cleaning in my house because my work whas been exhausted for meing this week.

Therefore, my house was congested.

Honestly, I have never seen this situation.

If you're commenting on the condition of the house, this is more appropriate:

Honestly, I have never seen it in this condition

Honestly, I have never seen it this bad.

However, my room got theo its original condition to makethanks to my efforts.

I think I should clean my room regularly, and will do big challenges next time.

I think that challenges wthat they are hard to do or finish for me are necessary for my life.

Some wrong word choices.

I guess that I should exceed the high wall ws that I encounter in my life.

"I want to exceed.." might work a little better here, but I wanted to changed as little as I could.

To do this, I need to do challenges myself!

Anyways, recently, I had a challenged one thing.

Actually, tThis was not a bigthat big of a thing, but it was difficult for me.

In this background, I coulThe reason I hadn’t done cleaning in my house was because my work was exhausted for me this week.

Therefore, my house was congesteddirty.

Honestly, I have never seen this situation.

Not sure if you want to say you never usually have a dirty house, or if you always have the trouble of a dirty house because you are tired from work.

However, my room got thereturned to it's original condition to makebecause of my efforts.

I think I should clean my room regularly and will do bigger challenges next time.