Peel and devein shrimp; set aside.
Drain pineapple, reserving juice; set pineapple chunks aside. Combine reserved juice, 3/4 cup unsweetened pineapple juice, and next 9 ingredients in a large nonstick skillet, stirring well. Bring to a boil; reduce heat to medium, and cook, stirring constantly, 5 minutes or until mixture is thickened and bubbly. Transfer mixture to a bowl; set aside, and keep warm. Wipe skillet dry with paper towels.
Coat skillet with cooking spray; place over medium-high heat until hot. Add carrot and red pepper; saute 4 minutes. Add shrimp; saute 3 minutes or until shrimp turn pink. Add pineapple chunks and pineapple juice mixture to shrimp mixture; cook until thoroughly heated, stirring often. Serve over rice.