The best answer is the third option: "A paragraph break should come after the word Jim".
Explanation:
A dialogue is best organized when each speech is outlined paragraph by paragraph. After the first person speaks, it is best to keep the interlocutor's answer on the following line. This is why the best answer is the third option. This dialogue should look like the following:
"Hello. Let me introduce myself," he said. "I'm Jim."
"Education has been the foundation of the modern age world because of the need to educate the youth of the world. Countries that live in poverty have no affordable education system or an education system at all. By making education free for everyone then society can move together as one instead of competing country against country to see which one is able to advance faster."
