I am sorry for your loss and I think I understand your reaction. It has only been recently that your father died, also it was abruptly giving you no time for preparation.
I do not think that one turns into an alcoholic in just 2 weeks, but it something you will have to watch. From what you write it is you who needs support now for grief and guilt counseling. You encouraged him to go for treatment, the alternative was clear. You were close to your father, the last thing he would have wanted was for you to fold up, you still have a familiy, let them help you.

Markus