Parathyroid hormone (PTH) actually increases calcium levels in the blood by stimulating bone resorption, increasing calcium reabsorption in kidneys, and promoting activation of vitamin D for calcium absorption in the intestine.
Thus, statement (2) is incorrect. All other statements are correct: the pituitary sits in the sella turcica, thymosin aids T-cell maturation, and zona fasciculata is the middle adrenal cortex layer.