I would think "liver problems" would mean actual diagnosed problems, such as elevated liver enzymes from a blood test. Let SWAMI decide if you're an Explorer, Gatherer, or Hunter. I would say "yes" for the skin problems and allergies. I'm not sure whether or not to include "history of infections" if it's not a recent problem and it's all cleared up and the tendency towards the infections is gone.
Blood sugar problems are if you get cranky from low blood sugar following a high carb meal and/or if you forget to eat. Environmental sensitivities is if you react negatively to perfumes, etc, in the environment.