Adjust oven rack to middle position and heat oven to 200 degrees. When oven reaches 200 degrees, shut off.
In the bowl of a stand mixer combine the milk and 1 tablespoon of sugar; add yeast and let rest 10 minutes until foamy.
Add 5 cups of flour, cardamom, butter, salt, eggs, orange zest and orange juice to the yeast mixture and mix with the dough hook on medium-low until thoroughly combined, about 5 minutes. Add up to ½ cup of additional flour if the dough is too sticky.
Transfer the dough to a lightly oiled bowl, cover with plastic wrap and place in warm oven. Let rise until doubled in size, about 1 hour.
After the dough has doubled in size turn it out onto a lightly floured surface, divide dough in half, cover and let rest for 10 minutes.
Line three baking sheets with parchment paper.
Roll one half of the dough into a 14×10-inch rectangle. Cut the rectangle in half crosswise. Cut one half of the rectangle into 6 strips, 10 inches long. Roll 5 of the strips into ropes about 12 inches long. To form the bunnies, overlap one end of strip over the other to form a loop; bring the end that’s underneath up over the top end, letting one end extend on each side to make ears. Pat tips of ears to shape in point. With remaining strip of dough, shape 5 small balls of dough for the tails. Moisten ball and place atop dough at bottom of loop. Press tails onto dough and place on prepared baking sheet. Repeat with the second half of the rectangle. Repeat with the reserved second half of dough.
After shaping, cover and let rise until nearly double, 30 to 45 minutes. Meanwhile, preheat oven to 375 degree F. Bake, one baking sheet at a time, until golden brown, 11 to 12 minutes. Remove from baking sheets and allow to cool slightly on wire racks.
While the bunny rolls are baking, make the orange icing. In a small bowl, whisk together the confectioners’ sugar, orange zest and 2 tablespoons of the orange juice. The mixture should be thick but pourable. Add up to another 1 tablespoon of orange juice if the mixture is too stiff. Drizzle over the top of the warm bunny rolls. Let harden, about 5 minutes, before serving.