Pillsbury Co. reported that earnings for its fiscal year and fourth quarter rose 13% and 1.5%, respectively. Pillsbury said its restaurants group led the company's performance during 1985 with a 17% gain in operating earnings. Restaurants accounted for 56% of the company's total operating profit and 44% of revenue during the year, a company spokesman said. Burger King's operating profit was up 23%. Operating profit of Pillsbury's consumer foods group rose 4% for the year, the company said, with major strength in canned and frozen vegetables, refrigerated fresh dough products and Haagen-Dazs ice cream.