Together they have constructed my integrity contract which I have been abiding by in my everyday word and action.
Together, they have constructed the integrity plan I have adhered to in my everyday word and action. <- this might sound better..
I explore that trust is the key to open the door of chances and opportunities and trust can only be built on the foundation of honesty and responsibility.
"I explore" is a confusing phrase. Try to use "I believe" or a synonym of it.
When I perform an honesty act
"...honest act..." or "...act of honesty..."
I make the impression on others that I am a reliable and trustworthy person.
"I convey to others that I am..."
These urge people to outsource their roles to me, which I consider opportunities for me to shine in all life aspects.
This is a very confusing sentence.. particularly the words "urge" and "outsource" may have the wrong connotations for what you may be trying to say.
Detailed reports of faulty equipment are still stored in my laptop.
This sentence is passive and could be better off changed to active.
if one shows respect to others, he would get respect from others
"...he will get..." <- this is more direct and impacting.
This word often has the connotations that you're trying to excuse bad behavior through rationalization. Looking up the definition gives you a better idea of whether you want to use it or not.
all the staffs in school
"...staff..." in this form, it is already plural.
sticking with them would help me purify my characteristics, thus make me more wholly as a person.
"purify my characteristics and make me a more complete human being"
I like the way you end it, just be careful with the words you use sometimes.
Hope I've been of help :]
Please look into my "The Eight Grade Science Fair" essay if you have the time!