TheBen’s great week of Ben

Ben’s great week sounds more natural (the ‘s indicates ownership).

However the original one was (I think) grammatically correct too, and it is how English speakers are taught to think of sentences when learning some (if not all) languages.

Ben looked at his phone, smiled, and immediately left the building.

Keep the tense consistent

The last few days have given to him a lot of things for him bereasons to smilinge.

Sounds more natural like this but I think the original one was correct too.

Tuesday he met with his brother, t. They haved a fallening out a long time ago.

Sounds a bit confusing when it’s all in one sentence.
Should be “had” (past tense of “have” since you’re talking about the past.
The concept of “to have a fallen out” doesn’t make sense, so it would be “to have a falling out”.

But his brother had been hadving some money issue, he doesn's. He didn’t even have money to eat, s! So Ben and theirhis mother helped him.

I shortened the one sentence into three to simplify it (with minimal changes).
Had —> having (“had” doesn’t make sense after “been”)
Issue(s) (“some” = plural)
Doesn’t —> didn’t (talking about the past - write in past tense)
Their —> his (“their” made sense and was right, but “his” makes more sense to me personally)

A more optional note:
Had been —> was (in this case at least)
If you want to see what I would write, it would probably go something like this:
“But his brother was having some money issues, to the point where he didn’t even have money to eat, so Ben and his mother helped him.”

Then, after that, they finally have made up.

I can see what you were trying to do here, but it sounds better if you delete “have”.

If you wanted to use have, then I would probably change it to “they have finally made up” but that still doesn’t sound entirely natural in this situation.

He had gonewent to a casino, and had won a lot of money.

“Had gone” sounds more natural if you change it to “went” or “has gone”.
Had won —> won (sounds more natural if you drop the “had”)

But today is more special than everything that happened to him this week,. Today his first child will be born, and he is so happy that his smile could be seen from the moon.

He wais so happy.

The previous sentence suggests that you have moved on to talking in the present tense, so was —> is.

If you intended to write in the past tense, it might be better to add some more details. For example:
“The last few days, he has been so happy” (he was and still is happy).

“He was so happy” would work better in a different story/situation, or in this case, if the child had already been born.

The gBen's Great wWeek of Ben

More natural like this

Ben looked at his phone, smiled, and immediately left the building.

Tense correction. Since you put "looked", smile should be past tense too.

The last few days have given to him a lot of things forthat made him be smiling.e

Tuesday he met with his brother, twhom hey haved a fallening out with a long time ago.

But his brother had been had some money issue,s had issues with money; he doesn't even have money to eat, so Ben and their mother helped him.

You can use semicolon ; to elaborate on a certain topic and link sentences as above.

Then, after that, they finally have made up.

He had some troubles on Wednesday.

A bit more natural to just say trouble and not troubles here.

But today iswould be more special than everything that happened to him this week, T; today his first child will be born, and he is so happy that his smile could be seen from the moon.