To make oatmeal packets gluten-free, use gluten-free oats and oat bran. Nutritional data for the basic oatmeal packets (without fruit or nuts). There is 1-1/2 teaspoons of brown sugar for the sweetener in these calculations. For one plain oatmeal packet: 160 calories, 2.8g fat, 53mg sodium, 28.6g carbs, 3.9g fiber, 7.6g sugars, 6.5g protein. Weight Watchers PointsPlus: 4.