I'm in a panic. I was brushing my teeth for the first time in probably 2 months and I started bleeding all over my sink
Really, 2 months? Why did you wait so long to brush your teeth?
I've been drinking too much alcohol to remember every night.
It is probably because you gums are shot. You are supposed to brush your teeth at the very least, once a day. Two months was way too long to go without brushing your teeth.
Baby steps please. I need to know what to do now about bleeding
Start by making sure you keep on brushing your teeth daily. Your gums will get used to it and adjust. This doesn't have to be a permanent problem.