No, you do not have to eat organic on keto diet as a general rule. Strictly speaking, the keto diet depends on eating less than 50 grams of carbs per day.
Organic sugar, or any other kind of sugar, is not keto friendly at all. The keto diet depends on balancing the three macros of fats, carbs and protein, but one way of defining keto is to ensure that 50 grams of carbs or less are eaten during the day.
As a general rule, you can eat four to six eggs per day on keto, garnishing them with a tablespoon of pure fat, such as butter, coconut oil, or MCT oil.
Keto OS works by feeding your body ketones in a drink format so that the process of fat adaptation is accelerated.