Heat oven 365 degrees . Butter and flour a 9 x 9 inch baking pan or something of equal capacity . Whisk together in a bowl ,the flour , baking soda , baking powder and salt. In another bowl combine the sugar and oil, then add your eggs one at a time, mixing well. Now add the carrots + milk , mix , next fold dry ingredients into batter including the nuts and fruit. Bake 45 minutes in center of oven. Test for doneness by gently pressing down in the center of cake , if it bounces back its done .
To make frosting, Cream together cheese + butter . Then slowly add sugar , mixing well. Finish off by adding vanilla. Spread across top of cake. Top off with additional walnuts if desired.