This sentence incorrectly uses the objective pronoun "them" where it should use the subjective pronoun "they." Since the pronoun in question is acting as the subject of the independent clause "(pronoun) were sure they would have fun there," it needs to be in its subjective form. Objective pronouns, on the other hand, are used when the pronoun in question is acting as a direct object or the object of a preposition, e.g. the exchange "To whom did you give the cake?" "I gave it to them." Here, both the pronouns "whom" and "them" are in their objective forms because each is funcitoning as the object of the preposition "to." 

There is an issue with the prepositional phrase "at Jason and I." "I" is a subjective pronoun, but the objective pronoun "me" should be used in this instance, since it is the object of the preposition "at."

This first person pronoun following "between" is an object of the preposition, and therefore should be the object pronoun "me" as opposed to the subject pronoun "I."

"Diana and I" are the objects of the preposition "to" and therefore must be in the objective case. "I" is in subjective case; the correct form of the first person pronoun here would be "me." "The teacher awarded extra credit to only Diana and me..."

There is no error in this sentence. The semicolon is appropriate, as the two clauses are both independent and there is no conjunction linking them. There is no preposition case error ("me" is correct because it is the object of the preposition "between"). The pronoun should be in objective case, which it is.

The first person pronoun here should be in subjective case, "I," as opposed to objective case, "me." 

A quick and easy way to test this is to simplify it as much as possible. Temporarily remove other nouns from this part of the sentence - would "where me was waiting" sound correct? No, so "me and Alicia" wouldn't be right either. "Where I was waiting" sounds fine, and it is - "Alicia and I" would be the correct replacement.

The preposition, in this case "between," must be followed by an indirect object pronoun, not the direct object pronoun "I." The correct version of this sentence would read: "The animosity between Bob and me..."

A quick test for pronoun case is to invert the order; one would never say "the animosity between I and Bob..."

The pronoun should be in objective case because it is the object of the preposition "to." "I" is in subjective case and should be switched to "me."

You can simplify the Noun Phrase to make this less complicated. "To I" wouldn't be correct, so extend that - "To Tony and I" shouldn't be correct, either. "To me" sounds good, as does "To Tony and me."

This sentence has an error in pronoun case. Pronouns are words that substitute for nouns and case describes the pronoun's role in a sentence. "Me" and "I" are both pronouns but they have different cases: "me" is used as the object in a sentence and "I" is used as the subject. In this sentence, "your grandfather and ___" is the object of the verb "talking," so "me" should be used instead of "I." A corrected sentence reads, "Whenever Suzie goes to visit her grandparents in the nursing home, her grandmother reminds her, 'Speak up when you are talking to your grandfather or me!'" 

The sentence above contains a pronoun case error. The "her" in the second part of the sentence should be "she" as the pronoun is the subject of that clause, rather than an object. The best way to correct the sentence above is:

"Marlene loves to go on long walks along the beach; she is definitely your type."