Bananas Foster Croissant Bread Pudding

Name: Bananas Foster Croissant Bread Pudding
Ingredients: 12-15 small croissants, stale (at least a day old is best; if you can't find small croissants, you can tear 6 large croissants in half); 1 cup light brown sugar, packed; 1/2 cup dark brown sugar, packed; 1/4 cup water; 1 1/2 cups heavy cream; 1 1/2 cups half & half; 1/4 cup dark rum; 2 tablespoons banana liqueur; 5 large eggs, lightly beaten; 1/2 teaspoon kosher salt; 1 tablespoon vanilla bean paste (use pure vanilla extract if you don't have paste); 1 cup granulated sugar; 6 tablespoons unsalted butter, very cold, cubed; 1/2 cup heavy cream; 3 tablespoons dark rum; 1 tablespoon banana liqueur; 1 teaspoon pure vanilla extract; pinch kosher salt; 3-4 bananas, sliced into coins