Interestingly, I had low blood-sugar for many years before I started drinking. And, I had no idea that it was one of the many things that would lead to my alcoholism. My body loved the sugar in alcohol and that made it even easier and quicker for me to become addicted.
I manage my low blood sugar quite well, but do have occasional bouts like you mentioned. I eat at least 6 times a day and try to not overdo sugar. I always, always carry some kind of snack with me in case of dizziness, etc.
I hope you talk to your dr and decide how to treat your symptoms.