I don't remember an actual song about teen suicide, but I do recall the song "Teen Suicide: DOn't Do IT!" From the movie Heathers. Remember, all the kids were wearing the Big Fun t-shirts around school?
I do remember that there were quite a few "suicide pacts" and also a few kids whose suicides were blamed on heavy metal music.
Ah, the good old days, when a "crop top" meant it brushed the waistband of your jeans, not the bottom of your bra!