I had all of these feelings when I started withdrawal. I couldn't walk up a ladder without my legs going all wobbly, and I think my pulse was over 100. That and more.
Withdrawal can be dangerous. Go have a long talk with your Doctor.
I'm not a lawyer, but alcoholism is a disease. And work cannot generally access your medical records to fire you over a disease. I don't like going to my referrals with the reason stated on my form as 'chronic alcohol abuse', but I like the idea of seeing my kids grow up more.
This is not your fault, but this is part of taking responsibility for it. Go see a doctor, and utilize all the resources you can get/afford.