Preheat oven to 350 degrees.  In a medium bowl, combine flour, salt, baking soda and baking powder.  In a separate mixing bowl, cream together butter and peanut butter until smooth.  Add both sugars, and beat until fluffy.  Add eggs, one at a time, and mix until blended.  Blend in vanilla.

Add in flour mixture and blend on low speed until combined.  Stir in peanuts and morsels by hand.  Using a 2" cookie scoop, place cookies onto ungreased baking sheets and bake for 13 - 15 minutes.  Let cookies set for a few minutes before removing to wire cooling rack.