Preheat oven to 375 degrees F.
In a large bowl, combine the cornmeal, all-purpose flour, baking soda, baking powder, and salt. Set aside.
In a separate bowl, combine the eggs, buttermilk, melted butter, sugar, brown sugar, and honey.
Stir in the flour mixture and then fold in the jalapenos and cheddar cheese. Do not overmix.
Melt some butter in a cast iron skillet and brush it all over.
Place the cornbread mixture into the skillet and smooth out the top.
Bake for 20 minutes or until done.
Enjoy!