Hi and welcome.
Drunk or sober, joining SR was a great decision. You will find lots of advise and support here.
Once we think we might have a drinking problem, chances are we do. Our mind let's us know. Like doing wrong and having a bad conscience.
Depending on how much or how long you drank, it might be a good idea to seek medical advise from a professional, especially if you are also depressed. BTW it's not unusual for you to feel that way. Alcohol and depression are tight friends so to speak.
Others with AA experience will be along shortly I'm sure and they will take the fear away.
Keep coming back.