Step #1 For the chicken: In a kettle mix the first 5 ingredients & boil for 15 mins.
Step #2 Add the chicken, cover & let simmer until chicken is tender, about 1 1/2 hrs.
Step #3 When the chicken is done, remove the meat & chop.
Step #4 Reserve 1 1/2 c stock for the filling.
Step #5 For the pastry: Sift the flour with the baking powder onto a pastry board.
Step #6 Make a well in the center of the flour & add the butter.
Step #7 Using a pastry mixer or your fingers, mix the butter & flour together into a stiff granular dough that is the consistency of cornmeal.
Step #8 Mix the eggs, yolk, salt & sour cream together.
Step #9 Add enough of the liquid until the liquid is absorbed & the dough holds together.
Step #10 Do not over-handle.
Step #11 If the dough will not hold together, add a bit more of the egg & sour cream mixture.
Step #12 Quickly form the dough into a ball, wrap in a damp towel & chill for 1 hr.
Step #13 Blend 1 1/2 c of the stock & the 1/2 c of sour cream & bring to a simmer, stirring constantly.
Step #14 Remove from heat & mix in the parsley, nutmeg, lemon juice & the sliced chicken & salt to taste.
Step #15 On a lightly floured surface, roll out the pastry to 1/8-inch thickness & line a deep pie dish.
Step #16 Beginning & ending with a layer of rice, alternate a layer of the chicken mixture with a layer of the mushrooms & a layer of the sliced eggs & dill.
Step #17 Press down filling, then cover with the remaining pastry, crimping the edges to seal.
Step #18 Cut a 1-inch hole in the center, then brush lid with egg.
Step #19 Bake 15 mins in a 400°F oven, then reduce heat to 350°F & bake this until the kurnyk bubbles at the edges, about 30 mins.