I can really relate to much of what you say, how you describe your feelings towards eating and food. My issues with eating began at secondary school where there was a lot of pressure to be stick thin, and if you weren't, you weren't liked and were ridiculed. I stopped eating what I could get away with, and whatever could go unnoticed. Ended up like a twig then a few years later gained a ton of weight during my first pregnancy and after the birth of my eldest son. I ate uncontrollably and never exercised, never went out due to agoraphobia. I lost some healthily in the end, then a load of stuff happened, got really stressed and stopped eating again. I'm now 30 and since age 12 have gone from tiny to huge now back to not far off how I was all those years again being only a few pounds off underweight. My bad eating habits are disordered of some description. Initially it started as a body image/wanting to fit in thing, now it's kind of anxiety/panic/phobia driven and secretly, a body image thing too. I don't know which outweighs the other.
I would definitely bring it up with your counsellor, just be totally honest with them.
You should not have ever been made to feel you have to earn your food. I relate to that also, not a parent but another person from the past who would say I was worthy of whatever they decided to leave me off their plate, if they didn't decide to throw it out of course. Some people are just incredibly cruel and I'm sorry you went through that.