[Debezo]

hmm... I think...
I think that you had better put 私は at the beginning of your first sentence. your first sentence may sounds like "someone who ~ graduate seeking ~". and you may put watashiha at only the beginning of the paragraph. you don't need repeat watashiha in each sentences unless the topic changes.
e.g.
私は～な卒業生で、～の仕事を探しています。
or
私は～な学生で、優秀な成績で大学を卒業し、～の仕事 を探しています。
hmm, my examples are not so good.