Preheat oven to 425°.
Combine allspice and next 5 ingredients in a small bowl. Stir well, and rub evenly on pork. Place pork on a jelly roll pan coated with cooking spray.
Bake at 425° for 28 minutes or until a thermometer registers 160° (slightly pink).
While meat cooks, combine apricots and next 6 ingredients in a medium bowl. Let stand 30 minutes. Serve salsa over pork.