I don't think the concern is so much your honesty with your doctors as with yourself. You mention your addictive personality, but it's your addiction that's at the heart of the problem.
This alone ought to raise red flags for most MDs & I suspect will with the majority of pdocs. The alcohol intake level is at an alarming level. I'm not sure how long your alcohol use has been at this level, but you may have an alcohol addiction that will have to be dealt with before anything can be done about psych meds.

I'm not trying to scare you, but I really hope you'll make whatever arrangements you need to make so that you can see the psychiatrist & find out what you need to get your life & health back on track. Those children you mentioned need you!