Here are the answers to your questions, identifying the statements that appeal to pathos, ethos, and logos:
Question 2: The statement that primarily appeals to pathos, or emotion, to support the position that American presidential election campaigns go on for too long is:
The two-year presidential campaign has led to a general sense of fatigue among voters; people don't want to be continually bombarded with advertisements and brochures, let alone forced to focus on every minute detail of the candidates' lives.
(This statement evokes feelings of fatigue and frustration.)
Question 3: The statement that primarily appeals to pathos, or emotion, to support the position that organic farming should be more widely adopted is:
I grew up in a farming family, and I learned that the best way to preserve your land's soil and water is to farm organically.
(This statement connects emotionally by sharing a personal experience related to farming.)
Question 4: The statement that primarily appeals to ethos, or character, to support the position that multitasking is a necessary skill in the twenty-first century is:
Like most office workers, I often find myself juggling phone calls, chat messages, and emails simultaneously, making multitasking an essential skill.
(This statement builds credibility by sharing a personal experience as an office worker.)
Question 5: The statement that primarily appeals to logos, or reason, to support the position that schools should eliminate long summer vacations in favor of a year-round calendar is:
Despite the opposition from students that a year-long schedule would surely cause, eliminating long summer vacations would provide a number of important benefits, including improved student learning outcomes.
(This statement presents a logical argument for the benefits of a year-round school calendar.)