I was in the Navy for 7 years (ELT) and was inadvertently drugged one night while drunk (I know that it was a big mistake to drink in excess and this poor decision led to my situation) with cocaine. I was summarily discharged with an OTH (with my CoC not even caring about my side).
I'm happy to see you getting some good advice on "going forward". You have to put food on your table...somehow.
Meanwhile, may I add (from a nuclear perspective) an alternative to your two sentences here? It's time to take responsibility. Frankly, I don't believe your story either, but that is irrelevant. A nuke takes responsibility for mistakes and I suggest a full disclosure in the future. Perhaps something like this:
"I allowed myself to be in a situation where I was not in control. Honestly, my alcohol use was out of control that night and I have no recollection of the events. Obviously, there was cocaine in my system and the Navy did the only thing that could...they had to let me go. Meanwhile, I have taken responsibility for my actions to ensure that in the future I will ALWAYS be in control, as a professional nukeworker should. I have been through counseling for my alcohol usage to ensure that won't happen again. I understand that I allowed myself to be in a situation/environment that a professional nuke should NOT be in and I've learned my lesson."
Good Luck.