It is false. The sentence should be: The colors in the painting appear particularly vibrant in this light.
Trivial details are details that have little to no relation to the evidence you are supporting. Supporting details back up you evidence strongly. Trivial details will often be used to keep the audience interested (ex: A fun fact about the moon.)
Hope this helps!
Emily and Tamra are both proper nouns. Careful is an adverb. Stuff is a noun. Is is a verb. With is a preposition. And always is an adverb.