Like everyone has said, what you're going through is normal. All the alcohol you drank was converted to carbohydrates/sugar. Take away the input and your body screams "What's up with this?" Hence, the desire for sugar. I first got my fix with ice cream which is not a real smart idea. I then switched to orange juice, but only in moderation. I got a certain amount of sugar plus some vitamins etc. After a while the craving goes away, so bear with it. Exercise helped me a lot here, too.
I'll put up with a couple of cups of coffee a days with no guilt. Nicotine is an entirely different animal, and causes more deaths that alcohol. Bad, Bad, Bad! Fortunately I quit smoking 3 packs a days 22 years ago, about a year after I joined AA. But If folks want to smoke then that's their problem, not mine. I focus on alcohol recovery. That's why we have AA meetings.