I believe that #4 is incorrect. I think that the noun phrase is "favorite dessert" because it is a phrase containing a noun, while "His favorite" (your answer) doesn't have a noun in it, therefore it cannot be a noun phrase.
The rest look right!
Some of the themes were epic poetry, they glorified knighthood and chivalry, tournaments, and battles.
Answer:
The beating of the old man's heart is what the narrator decides is making a low, dull, quick sound.
Explanation:
In the passage, the narrator says "...there came to my ears a low, dull, quick sound, such as a watch makes when enveloped in cotton." He then emphasizes he knew that sound well. Right after this, he indicates that "it was the beating of the old man's heart."
B: Her argumentative nature caused everyone else to avoid her.
In this sentence the adjective form of argument is being used correctly describing the noun, nature.
In the other sentences the wrong form of argument is being used. In option A the noun form is being used as a verb. Option C needs the noun form.Option D is the adverb form but there is no verb in the sentence.