There's a reason why music is mainly for teenagers. Teenagers are still learning the world - learning what they're up against and how to deal with it. That was true in the 60's and it's true today, and there's not much difference between this Lesley Gore classic and a One Direction hit, in that respect. Songs like this walk us through the first shitty times we get thrown our way, in this case having an emotional breakdown at your own goddamn party.
Is it a brilliant song? Is there anything especially great about the lyrical depth or the musical arrangement? Not really, but it's one of those snapshots of being young and having "the feels." This is what good pop music does.