1. Although he was born in a poor family he worked very hard. Eventually he founded his own company and became very successful.2. My mom didn't let her family down and gave birth to a baby boy. In Chinese tradition a boy is more desirable than a girl.3. When Rockets was down by two points, Jeremy caught the ball and made a three pointer and Rockets won the game. Jeremy did not fail us!
 successful not let someone down not fail someone爭氣或給力就是成功或不讓別人失望的意思，白話的翻出即可.
1. 雖然他出生於貧困家庭他非常爭氣. 後來成立自己的公司變得很成功.2. 我母親爭氣, 生了個兒子. (因為她家人希望她生兒子)
The thesis of your essay is completely obscued by your flowery language.