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