TTSP, your dad's immune system probably knocked out the hep B. Mine did the same. However, he will always test positive for it, though he has the antibody for it and can never get it again or give it to someone else. That's the good news.
Also good that he has stopped drinking. Hopefully, he can start going to AA soon and get the documented sobriety.
He needs to apply for Medicaid right away. You can or your siblings can fill out the forms for him. You can call SS directly (1-800-772-1213) and tell them that you want to apply for SSI and Medicaid for your father. If he has any source of income, he might be over the limit for SSI, but still be able to get Medicaid. He could also be considered for SSD if he has enough quarters of working in. How old is he? The important thing is to get him some insurance.
Does he have a hepatologist (liver specialist?) That's who he should be seeing. And that hepatologist should refer him to a transplant center. Even though he is far from qualifying for a transplant, that should be planned for...at least getting evaluated.
It could be that it's too late for him to make a turnaround or to qualify for transplant...but as Sandi said, he's still alive and breathing...and you need to do whatever you can to keep him that way.
Also, if you have his latest lab results (specifically INR, creatinine, and bilirubin) you can calculate his MELD score at this site: http://www.mdcalc.com/meld-score-model-for-end-stage-liver-disease-12-and-older
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"But that was yesterday, and I was a different person then."
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