"worthy of encounter" or "worthy of an encounter"

The excerpt is from my personal statement to law school. Hence, I believe creative writing and informal conventions apply. Is the underlines sentence acceptable in its current form? Every resource I looked up indicates I should include "an" before "encounter," but I feel like it takes away from the sentence. Even if it is acceptable, I would appreciate personal opinions. Please include your credential, if possible.

Also, would it sound better/grammatically correct if I wrote "seek out in my instructors" instead of "seek in my instructors."

It is my last chance because I do not desire to operate in the upper echelons of academia. I do not have the inspiring instruction I admire and seek in my instructors. I am a bulldog that belongs in the trenches. With a refined instinct, I seek those fights worthy of encounter. With a relentless disposition, the trenches are where I can obtain the justice I have been silently training for.