To prepare chutney, heat oil in a large saucepan over medium-high heat. Add onion, 2 teaspoons fresh ginger, and garlic; sauté 4 minutes. Stir in juice and next 6 ingredients (through 1/2 teaspoon cumin); bring to a boil. Reduce heat, and simmer 15 minutes or until liquid is almost absorbed. Remove from heat; let stand 10 minutes. Stir in jelly, mustard, and 1/4 teaspoon salt. Spoon into a bowl; cover and chill.
Preheat oven to 350°.
To prepare pork, combine sugar and next 8 ingredients (through red pepper); rub over pork. Place pork on a rack coated with cooking spray; place rack in pan. Bake at 350° for 1 hour and 20 minutes or until a meat thermometer registers 160° (slightly pink). Let stand 20 minutes. Cut into thin slices. Serve with chutney.