Originally Posted by
MrDoggy 
If it would be low blood pressure or blood sugar, and it solely comes from the alcohol, is it reasonable to also expect that it naturally will regulate itself after a while?
Again, you'd need to speak with a doctor to confirm that as you don't know what the source of problem might be. It could even be anxiety related and not caused by a physical problem at all.
It is reasonable to expect that your health in general should improve after you quit drinking if you've been abusing alcohol - yes. But it's not reasonable to attribute ( or exclude ) any specifics without seeing a medical professional.