Combine all of the ingredients in a saucepan. Bring the mixture to a boil. Reduce heat and simmer for 10 minutes.
Remove jalapenos with a slotted spoon. Refrigerate the jalapenos. Let syrup mixture cool and place in the refrigerator.
When the syrup mixture is totally cooled, pout 1 1/2 cups of the syrup over the chicken breasts. Marinate the chicken for 1 hour. The remaining syrup will be used for basting. Remove the chicken from the marinade and discard the liquid. Grill the chicken 3-5 minutes on each side, basting with reserved syrup mixture during cooking. Transfer to the serving platter and garnish with the candied jalapenos.