I'm not sure how "how good-looking are you" is useful with fulfilling the stated goals of section E.

If good looks aren't strongly correlated with the answers to other questions, we can use the responses of groups of test-takers to "how good-looking are you?" to see whether that group, in aggregate, tends to be positively self-deceived. It isn't definitive, but if e.g. the group of respondants whose questionnaires are low in a particular factor also have the property that 50% of them regard themselves as being in the best-looking 10% of the population, while for the group whose questionnaires are high in that factor, only 10% regard themselves as being in the best-looking 10%... that would be evidence (though not definitive evidence) that the factor correlates with accurate self-assessment.