I believe the answer is letter D. This being the only one that seems to relate best with the topic sentence.
Explanation:
A view or judgement not necessarily based on knowledge is an <u>opinion</u>. The most common meaning of an opinion is a personal view, belief or judgment that rests on grounds that are insufficient to produce complete certainty
For number 1, your option is correct (B). "Doggedly" is synonymous with "persistent," so "with great determination" matches that.
For number 2, your option is correct (D). "Stoutly" means "strong" and "sturdy," so "solid" would also work.
For number 3, your option is incorrect. The correct answer is B. "Boisterous" and "rowdy" both mean energetic and noisy. Since the children were bouncing off the walls, they were indeed energetic, boisterous, and rowdy.