Explanation
Correct answer: C.
Choice C is the best answer. The convention being tested is pronoun-antecedent agreement. The singular pronoun "this" agrees in number with the singular antecedent "Lê Lương Minh became the thirteenth secretary-general of the Association of Southeast Asian Nations (ASEAN) in January 2013." The pronoun "this" is referring back to the singular event described earlier in the sentence in which Minh became secretary-general of ASEAN.
Why the other choices are wrong
Choice A
Choice A is incorrect because the plural pronoun "these" doesn’t agree in number with the singular antecedent "Lê Lương Minh became the thirteenth secretary-general of the Association of Southeast Asian Nations (ASEAN) in January 2013."
Choice B
Choice B is incorrect because the plural pronoun "those" doesn’t agree in number with the singular antecedent "Lê Lương Minh became the thirteenth secretary-general of the Association of Southeast Asian Nations (ASEAN) in January 2013."
Choice D
Choice D is incorrect because the indefinite pronoun "some" is ambiguous in this context; the resulting sentence leaves unclear what marks the first time the organization appointed a Vietnamese leader.