In a mixing bowl: add yeast, milk, sugar and let sit for 5 minutes. Add the eggs (1 whole egg + 1 egg yolk), salt & bread flour to the bowl.
If using a stand mixer - turn the knob to speed 1 and knead for 1-2 minutes. Add melted butter and then gradually increase the speed 2 for 6-8 minutes until smooth. Shape the dough into a ball. Then transfer the dough to a lightly grease bowl. Knead by hand for 8-10 minutes until smooth.
First Dough Rise: cover with a clean towel or saran wrap for the 2 hours or until it doubles in size.
In a small bowl: combine brown sugar, pumpkin spice & cinnamon. Mix until well combined. Set aside until ready to use.
½ cup brown sugar, 1 tbsp pumpkin spice, 1 tsp ground cinnamon
Grease the bottom & sides of the 9"x 9"pan with cooking flour spray or butter.
Punch down into the dough to release any air bubbles. Transfer the dough to a working surface area. Roll the dough out into a 14"x 9" rectangle. Spread ¼ cup softened butter on top. Sprinkle the pumpkin spice cinnamon sugar on top of the butter. Roll up the dough making a 14" log. Then seal the two ends together. Use a floss/knife to cut. Cut into 9 even rolls. Transfer the rolls to a pan.
Second Dough Rise: cover the pan with towel or saran wrap. Let rise for 60 minutes or until it doubles in size.
Icing: using a handheld mixer or stand mixer. In a bowl; add softened cream cheese, butter and beat until smooth. Add powdered sugar, heavy whipping cream, pumpkin spice and beat until well combined. Cover the icing until ready to use.