Melt the white and pink candy melts separately. Arrange 12 plastic spoons facedown on a cutting board. Put the white candy melts in a resealable plastic bag, snip a corner and pipe short lines on the tip of each spoon.
Dip the back of the spoons in the pink candy melts to cover; freeze until set, 5 minutes. Carefully pop off the petals and use the spoons to make more. (You'll need 6 to 8 petals per cupcake.)
Tint the 1/2 cup vanilla frosting yellow with food coloring. Pipe a small amount on each cupcake in the center, then insert the licorice sticks. Arrange the candy petals around the yellow frosting.