01 - Preheat oven to 400°F. Grease an 8-inch square baking pan or 9-inch round skillet with butter or cooking spray.
02 - In a large mixing bowl, whisk together all-purpose flour, yellow cornmeal, granulated sugar, baking powder, and salt until well blended.
03 - In a separate bowl, beat the eggs lightly. Whisk in whole milk, vegetable oil, and melted unsalted butter until mixture is smooth and uniform.
04 - Pour wet ingredients into dry ingredients. Stir gently with a spatula or wooden spoon until just combined, being careful not to overmix.
05 - Gently fold chopped jalapeños, corn kernels, and shredded cheddar cheese if using into the batter until evenly distributed.
06 - Transfer batter to prepared baking pan, spreading evenly with spatula to ensure uniform thickness.
07 - Bake for 22-25 minutes until top is golden brown and a toothpick inserted in center comes out clean.
08 - While cornbread bakes, combine honey, fresh lime juice, lime zest, and pinch of salt in small saucepan. Warm over low heat for 2-3 minutes until fluid and fragrant.
09 - Remove cornbread from oven. While still warm, drizzle lime honey glaze evenly over surface. Allow to cool slightly before slicing and serving.