The use of the reflexive pronoun "myself" is incorrect in this sentence, as it has no earlier pronoun or noun to reflect back to in the earlier part of the sentence. The correct pronoun for this sentence is the simple objective pronoun "me." The only answer choice that makes the correct change to the underlined portion of the sentence is "either by him or me."

The use of "I" in the final quoted part of this sentence is incorrect, as it is functioning as an object of the preposition "for," but "I" is the subjective form of the first person pronoun. The correct pronoun for the object in a sentence is "me." Therefore, as the only answer choice to use the right pronoun, the correct answer is "said the Secretary of State, "for both me and the President."

The use of the objective pronoun "who" in this sentence is incorrect, as the pronoun is the object of the preposition "of." Pronouns that function as objects of prepositions need to be in their objective forms, not their subjective forms. The correct answer choice is the one in which "who" is changed to "whom"; this means that "all of whom were interested in what political positions" is the correct choice.

The underlined portion of the sentence is the object, and both words need to be in the objective form. "Him" is objective, but "I" should only be used as a subject. The correct answer is "to me and him."

The problem with the sentence is in the two pronouns underlined. The correct usage of the first person pronoun as an object is "I," not "me." Additionally, "you" should come before "I." 

The speaker and Trudy together form the subject of the underlined clause, and so both pronouns need to be subject pronouns. Of the options given here, "she and I" is the only one where this is the case ("we," of course, would also work).

The pronouns "us" and "them" are actually the object forms of their respective pronouns, but are used as the subjects of the sentence. Both words need to be changed into the subject forms. The correct answer choice is "They and we."

"Me" is always appropriately used as the object of a sentence, while it is used in this sentence as the subject. The first person subjective pronoun "I" must be used instead. "You and I have" is the only answer choice that does this and uses the appropriate verb form "have."

The use of the pronoun "him" in the subject of the sentence is incorrect, as "him" should only be used as the object of the sentence. The proper third person male pronoun for the subject of the sentence is "he," making "He and I are going" the correct answer choice.

The use of the pronoun "him" is incorrect in the sentence, as it used as the subject, but can only be used as the object of the sentence. The pronoun needs to be changed to "he," but otherwise the sentence is absolutely correct. Therefore, the correct answer choice is "She and he have been."