As I steppinged onto the bustling campus, it seemed that this challenging yet amazing stage was appealing forto me to start a new journey, attachment, anxiety and of course anticipation filled with my heart.

"As I was stepping onto" or "As I stepped onto" are the two ways this gets written, and since the rest of the sentence is in the past tense I went with the past tense version.

Commas have a space after them.

"appealing to me" -> urging you to do something
"appealing for me" -> making you want something

The difference is subtle, but this is a case for "appealing to me" since you're talking about it urging you to start a new journey.

After brief and platsimple introductions, four girls formedwere assigned to the 418 room.

"plat" is apparently very specifically Scottish - I guess you found this in a bilingual dictionary? I had to look up the word as a native speaker.

To my surprise, I met three different yet equally warm-hearted roommates.

Care and friendliness shone in piece of words about reminding detailthrough in words and little actions,like computer helping, -and it made me believed that one day , we would become true firiends .

I'm not sure what "in piece of words about reminding" is supposed to be, so I simplified it just down to "words"

A dash as a seperator seperates two clauses that can be independent, but since it starts with "and" it can't be independent.

If life in a dorm room wereas sweet lemonada,e, then the stimulating soda was about to burst out .

I can sort of see what you mean, but is this directly translated from an expression in your native language?

What militeary training brought to mind was scorching weather, exhausted bodyies and sweat-soaked clothes.

The first obstacle came when I was misseding a pair of pants ofor the military uniforms.

Ands you couldan imageine, it wcould lead to howa terrible sitiuation—— — spending time searching for the place storing the clothes alone, and costspending extra money to get altertimentpants altered.

Besides that, I also mistookxed up the classrooms, forgot the lecture times , and found it tough to baleance the society and course toughlycourse and social life.

All in all, here, those days, I was buzsy but free, tired but joyous.

I was a fresher, in fact , but now paced toing ahead, I thought.

My fFirst glimpse on the cDay on Campus

I would not use "glimpse" here, since a glimpse is a very short and limited sight of something. For example, if you had driven past the campus for the first time, you could call that a "glimpse." But here, you are already settled into your dorm. I would call it your first day, or your first week.

As sStepping onto the bustling campus,it seemed that grounds, this challenging yet amazing stage was appealing for me to sof life felt appealing to me. Starting a new journey, filled my heart with feelings of attachment, anxiety, and of course, anticipation filled with my heart.

Edited for clarity

After brief and pflat introductions, four girls formed the 418other girls settled into room 418.

"Form" would typically involve the materials which make something else, e.g., "Three sides form a triangle"

People coming into a space (and stopping there) can be described as "settling in"

To my surprise, I met three different yet equally warm-hearted roommates.

Care and friendliness shone in piece of wordswas found in words shared about remindembering details and little actions, like computer helping -help with our computers, and it made me believed that one day , we would become true firiends .

There are no spaces before commas, but you need a space after them

If life in dorm room weredorm life was sweet lemonada,e, then the stimulatingfizzy soda was about to burst out .

Life in the dorm = dorm life

This one might be less understood depending on who you are speaking to. In America, lemonade is not carbonated, so it would be flat like water and not fizzy like a soft drink (e.g., Coca Cola)

What militeary training brought to mindme was scorching weather, an exhausted body, and sweat-soaked clothes.

"Brought to mind" would mean it is a memory you are recalling in this moment. First you are thinking of military training, then you are thinking of these associated things.
You can say "brought to me / got me" to highlight what military training made you experience. This feels more appropriate in the text as you are informing us, the readers, how this past experience contrasts against your current story

TheMy first obstacle came when I missedforgot a pair of pants of one of the military uniforms.

More natural: "My first problem was forgetting..."

And you couldan image it wouldine, it lead to howa terrible sitiuation——spending time searching for place storing the clothes alone,and coststorage for the clothes, plus an extra moneycost to get alterti replacement.

You almost never need to mention "money" with "cost" as it is already implied/understood

BesidesIn addition that, I also mistook thexed up my classrooms, forgot the lecture times , and baleance the society and course toughd work and student life poorly.

All in all, hereflecting now, those days, I was buzysy, but free,t. Tired, but johappy.

I was a fresher,in fact ,but now paced to ahead,I thoughthandled it well, actually, but I only realize this now.

Sorry, I didn't really understand what you were trying to say here. This is my best guess.