Small tear above earring, what to do?

A small tear like the one you are describing should heal fairly quickly as long as you keep the wound clean.  

I would recommend that you remove the earring and see how much healing will occur on its own.  Use of Neosporin or Bacitracin ointment is well advised, too.  Only with time will you be able to ascertain whether the ear has healed well enough to attempt reinsertion of an earring.  If your earrings are not 14 karat gold, you may have developed a reaction to the metal.