These kinds of questions are usually fairly fun to do. Honestly, you could probably get away with picking most songs that have been popular at some point because more than likely those songs are love songs. Romeo and Juliet is a love story; therefore, a great deal of love songs could be defended as an appropriate song for the play. It's more fun if you try and pick some songs that aren't love songs.
"It's the End of the World As We Know It (And I Feel Fine)" would be a great choice for when Romeo finds out that Juliet is "dead," but you would have to cut the track just before the lead singer sings the "I feel fine part."
Tybalt thinks he's the greatest fighter in the world, and he believes that he can take on anybody. Go with Michael Jackson's "Bad." Michael Jackson's "Beat It" would work well for when Romeo is banished. "Closing Time" by Semisonic could work well for that sequence too.
"Marry You" by Bruno Mars is a good choice for when that subject is thought about by the characters. "Just...
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