咱中国人说话含蓄，从你的申请中表现的是淋漓尽致

老外喜欢开门见山,何不把你该说的问题(第一,我要重新递交我的application and transcripts,第二.我准备申请秋季入学)提到前面呢?然后再摆理由,再恭维?

但从语法和英语习惯来说，有几处还值得斟酌

1.And the College of Engineering attracts me mostly because its world level professors, facilities and learning environments

改成...because of its world-class faculties, facilities and learning environments.

2.In the pass months since I heard the decision from Purdue,

这里pass我相信是你笔误.呵呵

3.I tried to convince my parents to let me attend Purdue begin with the following summer,but they insist me to spend the three month to work in full time job both gaining experience and money to support my college tuition for the incoming academic year, since the college tuition is high enough for me and my family.

这句够长,但问题似乎也多一点,,attend换成enroll in是不是好点,改为let me enroll in Purdue and begin with the following summer, but they insisted me to spend the three months(from A 月 to B 月) to work in a full time job .....

4.I even argument with my father for many times because this

修改为

I even argue for this with my father for many times

总体来说，你的英语很棒!希望你"普渡"成功!