MAt 6 o'clock, my aunt and I walked for a long distance at 6 o'clock for an hour.

"for a long distance" is optional. It is not wrong, but like other people said, it might read better without it. But you can also keep it, because it explains the next sentence (being tired).

You could also use the phrase "went on a walk" like:
At 6 o'clock, my aunt and I went on a walk for an hour.

It was very tireding for us to return my home.

If you think about the walk home, you became tired over time. So we use "was tiring" to show the return home made you feel tired.

It was reading thean English story.

"a / an" are indefinite articles: used when you are being general
"the" is a definite article: used when you talk about a specific thing

You did not give the title or details of the story yet, so the reader does not know a "specific English story." So using "an" makes more sense.

By the way, instead of using "It was..." you can be more specific. "The assignment was ..." or "My homework was..." instead.

The story was about a flirtatious woman, it was a little difficult and I was shocked.

You need an article before "woman," because it is a singular noun.

"flirtatious" is the adjective form of "flirt," which is a verb. You could also use "flirty," but that sounds less shocking.

If you want to use "little" you need to include "a" to make "a little difficult." Or you could leave out "little" and make it "... it was difficult and I was shocked."

AIn the after noon, I was doing the law homework untildue tomorrow.

While "after noon," is not wrong, it would be better to say "In the afternoon..." or maybe "After 12 o'clock..."

I was not sure if you meant you "worked on the law homework until the next day." Or if you meant that the homework was due the next day.

It had to helpwork with my 6 teammates, but we couldn't contact with three menmbers.

"work with" makes more sense than "help" for a group homework.

Because there are 6 of them, you should use the plural "teammates." Teammates makes me think of sports, so maybe "group mates" might be better.

Even if everyone in your group are men, it sounds better to use "members."

At night, I couldfinally contact withed two menmbers.

Do you mean you contacted the only members from before?
Or do you mean you contacted 2 of the 3 missing members?

I use "finally" here to show it took a long time to reach these people.

The homework was finishinged just in time, but I havedon't kneow what the men wasy were doing.

The homework was already done by the time you needed to turn it in, so we use "finished."

Because you still do not know what they were doing, you use the present tense "do not know."

"the men / they" are plural so we use the plural "were" instead of "was"

I thought h"Human's trust lolose trust easily, I have to be very carefully not to loste it."

You are talking about plural humans, so you don't need to use the possessive " 's".

If you want to use past tense "lost," you need the verb "to be" ("is," in this case). Ex: "trust is lost"

But because you say "I thought," which is past tense, you can simply write what you thought in present tense. I put it into quotes to show where your though starts and ends.

It was very tireding for us to return my home.

Tired is a state: "I'm tired, you're tired, she's tired". Tiring is the past continuous for "he/she/it". As for the later part, you can drop my altogether or turn it into "to my".

It was reading the English history.

A story is something imaginative, something told by someone to someone. History is the entirety of something's facts, something that did indeed happen.

The story was about flirting with a woman, it was a little difficult and I was shocked.

I had to approximate the meaning.

After noon, I was doing themy law homework until tomorrow.

Afternoon is together, as for law homework: it is yours, "the" is really generic to specify, so it's better to say "my", because it's yours, and only you are aware of it.

It haneeded help from/it required to help with my 6 teammates, but we couldn't contact with three men.

At night, I could contact with two men.

The homework was finishinged just in time, but I havedidn't kneow what the men wasere doing.

Finishing means to soon be finished, while finished is the completion of the verb. I haven't means I have not, and simply sounds weird with knew. I didn't means "I did not know what..." and sounds overall better.

I thought human's trust los lost trust easily, I have to be very carefully not to loste it.

Apostrophes (') are used for contractions and in names (Whomever's) to mean "his/hers/its". Carefully means to do something carefully, while careful means to be careful.

MAt 6(am? pm?), my aunt and I walked for a long distance at 6 o'clock for an hour.

You don't have to say 'for a long distance' because walking for an hour already says that you were walking very far.

It wasWe were very tired for us towhen we return my ed home.

It was reading the read a story in English story.

The story was about a flirtatious woman, it was little difficult to understand and I was shocked by it.

AIn the after noon, I was doing themy law homework untilwhich is due tomorrow.

It had to helpwork with my 6 teammates, but we couldn't contact with three men3 of them.

At night, I could contact with two menfinally contact 2 of them.

The homework was finishinged just in time, but I havedon't kneow what the missing men wasere doing.

I thought humanpeople's trust is lost easily, so I have to be very carefully not to loste it.