Applying to graduate school in an unrelated field after a year working in unrelated job?
In terms of "logistics," I would try to get one recommendation from a Computer Science professor, one from a language professor, and maybe one from an East Asian Studies professor (if not, then find the closest equivalent).

You are in a stronger position than you may think. Most applicants in East Asian (or similar studies), are stronger than you on the topic, but weak on "tools" that they need to pursue the degree. Two of those "tools" happen to be computer science (they call it quantitative methods) and languages, in which you are strong.

As a person that may be weak on the topic but strong on "tools," you are actually a rare commodity. Most faculties in soft sciences and social studies fear that their graduate students will be unemployable outside the field. You are the exception to the rule, and therefore represent a "lower risk."

My father, a retired engineering professor, used to say that it was easier for a good math and computer science person to take a graduate degree in Economics than for someone with an undergraduate Economics degree (and not the others).

Your minor in East Asian studies is enough to demonstrate your interest in the topic. The strength of your "tools" probably gives you an advantage over others.