It should be noted for fairness’ sake that International Public Law, which I studied, may seem to be irrelevant and inapplicable in the field of Oil and Gas Industry. However, as you might know, LLM is all about self-studying, and I can promise that I will do my best to adapt to and learn any field of International Law you will require of me.

note, i am not a guru - can only raise questions, humbly.

3. i do not think this works well: "it should be noted ... that IPL ... may seem to be irrelevant."
it is not what you want noted. you want "noted" NOT ONLY the [seeming] irrelevance, but ALSO your willingness to work to overcome the shortcoming. right??
if so, i would either combine this statement together with the next one OR split the first part into a separate statement (e.g. "There is one issue that should be noted.") - that way it could serve an introduction to the entire paragraph, as opposed to just the "seeming irrelevance" claim.

4. "IPL may seem irrelevant. However, I will do my best to learn" - these two do not mesh in my view:
If you promise to resolve the "irrelevance" issue with your effort, then you must agree with the issue - then drop the "may seem" part!

not meant to be perfect, just to illustrate what i consider appropriate:
the constant push, less time for negatives, less doubt, and the pace ;)

consider:

My degree in International Public Law may not seem to be directly relevant or applicable to the oil and gas industry practices, but I am confident that the thorough knowledge of various legal issues that I acquired and the top-notch learning skills that I developed during the years of earning my LLP degree will be indispensable in successfully tackling any new learning challenges or meeting the company objectives set out for my role.

Thank you very much indeed!!!