Low iron, high liver enzymes, high absolute monocytes count.. any correlation?

No: The absolute monocyte count seldom tells us much in isolation. If by "low iron" you mean a low serum iron, you need it interpreted; if by "low iron" you mean a low hemoglobin / hematocrit, you are anemic and this is serious. High liver enzymes require a workup for alcohol and drug toxicity, hepatitis, hemochromatosis, wilson's & others. Never focus just on labs.