heat 1 T oil in heavy medium saucepan over medium heat. add curry paste and tomato paste and stir until fragrant, about 3 minutes. add coconut milk, broth, mushrooms, kaffir limes leaves, fish sauce, and brown sugar; bring to simmer. remove from heat. add cherry tomatoes. season sauce with salt and pepper.
preheat oven to 350 degrees F. heat 2 T oil in large nonstick skiller over high heat. sprinkle hens with salt and pepper. add hens to skiller and cook until browned, about 4 minutes per side. transfer hens to 13x9 inch pyrex. pour sauce over. bake uncovered until hens are cooked through, about 35 minute transfer hens to shallow serving bowl; tent with foil. skim fat from sauce. pour sauce over hens. garnich with basil and chilies, if desired.