Billy Collins' poem is a lyric poem because mainly it expresses highly personal emotions and feelings. Many lyric poems involve musical themes or tones, and in fact in Shakespeare's era the word "lyric" meant that the poem was accompanied by a musical instrument (a lyre). But while Collins' poem doesn't give off a musical idea or theme (unless the sound of a fork scratching across a granite table is music), it does use metaphor and achieves a dramatic impact.
The metaphor has two people, presumably married and in a love partnership who have divorced. (It is known that although un-married couples who have been together for a long time and break up are also involved essentially in a "divorce" of their partnership.) The metaphor of "two spoons" shows two people locked together, snuggling would be a good word, in a warm bed. "Tined" means prongs on a fork -- or it means pieces separated by a space, which forks are. So from a spoon (smooth and round) to a fork (sharp with separate prongs) is a very good metaphor for divorce. And on that granite table (which is a cold, hard image) there is nothing more than the forks and knives (knives could be the attorneys they hired to consummate their breakup).
Question #2
The Margaret Atwood poem could well be used as a monologue. It is story-telling in poetic form. There is an ongoing metaphor (the wild river that carries a person on a certain course through life) and the reader knows there is not really a raging river in the line, "the dangerous river of his own birth." The one, "on a landscape...
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