Normal. It takes time for a body to heal.
I'm also going to assume you're female. Hormone balance related to estrogen is mediated in the liver, as is alcohol metabolism. Excessive drinking (and stopping drinking after a period of excessive drinking) can throw hormones out of balance for a while. Female hormones play a big role in skin condition. Think getting zits right before your period.
Aside from this, stress hormones and sugar balance can be a little off when you stop drinking. You're changing the whole way your body understands things will be.
Rest well, exercise, eat clean and highly nutritious foods, hydrate well. Sometimes peoples diets go a little off the rails after stopping drinking, as their bodies crave sugar that normally comes from alcohol.
Congratulations on nearly two weeks! Just be kind to yourself. This will pass and you will feel amazing.