For the not eating, it's pretty easy to get data. It's like 1 in 5 children live in food-insecure households in the US and maybe 1 in 20 of those very insecure, so not eating before school provided lunch is common enough that if you're grading tons of papers you'll run into kids like that.
Food Security Status of U.S. Households with Children in 2017
Among U.S. households with children under age 18:
84.3 percent were food secure in 2017.
In 8.0 percent of households with children, only adults were food insecure.
Both children and adults were food insecure in 7.7 percent of households with children (2.9 million households).
Although children are usually protected from substantial reductions in food intake even in households with very low food security, nevertheless, in about 0.7 percent of households with children (250,000 households), one or more child also experienced reduced food intake and disrupted eating patterns at some time during the year.