Your liver related numbers show no indication at all of any liver disorder. Both your synthesis and excretory functions are completely normal, and your liver enzymes show no active insults as well. So you really have nothing to worry about wrt your liver, and you don't have cirrhosis.
Keep working with your doctor to track down any other problems. We're not doctors so any further speculation isn't useful. Take care,
I would say you do NOT have cirrhosis. Your numbers are pretty much text book, under healthy liver numbers. The RDW is marginal and doesnt mean a red flag for anything. You are 19 and hardly drink, so you can rule out Alcoholic cirrhosis, next could be fatty liver disease, but your numbers dont indicate inflammation, true there could be some fat there but its not causing and issue at the moment. Auto immune cirrhosis, again your ALT would likely be higher, its at the bottom of the range. If your really worried the only way to get a true picture of your liver health is a Fibroscan or biopsy, Fibroscan is non invasive and has a coverage of about 100 biopsys.