Cook pasta according to package. Reserve 1 cup of pasta water.
In a small bowl, mix together jerk seasoning and brown sugar.
In a another small bowl, mix shrimp with 2 tbsp of jerk seasoning mixture. Pound chicken breast with a skillet or meat mallet to tenderize and flattened chicken (This will ensure chicken cooks thoroughly. Rub a tbsp of the jerk seasoning mixture on one side of each chicken breast, then flip over and rub a tbsp of the mixture on the other side of each chicken breast. You should have 1 tbsp left. Set it aside for sauce.
Heat 2 tbsp. of oil, and 1 tbsp. of butter in a 10 inch skillet over medium high heat, and cook your chicken on each side until you reach an internal temperature 165 degrees. This should only take about 7 minutes on each side. Once your chicken is done, add another 2 tbsp. of oil and one 1 tbsp. of butter to same skillet and cook shrimp 2 - 3 minutes on each side.
To same skillet, add 6 tbsp. of butter. Add bell peppers and onion, then cook until tender, stirring occasionally, approximately 3 minutes. Stir in garlic, and sauté for additional 3 minutes.
Reduce heat to med-low. Stir in heavy cream, remaining jerk seasoning, cream cheese, pasta water and chicken bouillon. Bring to a simmer, and cook for approximately 10 minutes, stirring occasionally. Stir in parmesan cheese and fresh thyme from sprigs. Taste sauce and add salt and pepper if needed. Toss cooked pasta in sauce.
Top with cooked chicken and shrimp. Garnish with chives and serve warm.