Your doctor is right. Because of continued alcohol intake your liver has developed early inflammation. There are various stages of alcoholic liver damage- the earliest is alcoholic fatty liver
- then alcoholic hepatitis
and finally cirrhosis
of liver. With raised AST and ALT you have started to develop alcoholic hepatitis. continued abstinence from alcohol can reverse some of the damage caused to the liver. Also drugs like ursodeoxycholic
acid can reverse some liver inflammation. You need not retest so early- you can have a repeat LFT after 3 months of abstinence. Also there are some other drugs that are advised in alcoholic hepatitis - your doctor with calculate what is known as a Discriminant fraction and would advise you for the same.
I would also advise you to undergo Fibroscan- a non invasive test that would test the stiffness
of the liver and can estimate how much permanent damage that has already happened to the liver.
Hope this helps