Question three is true only if you exclude a great number of leafy herbaceous plants classified as vegetables.
Strawberries are not the only fruits with their seeds on the outside. In fact, i'm fairly sure that's the classification of a berry. Blueberries, raspberries, and pineapples also have their seeds on the outside, separate from their flesh.
i have cooked lettuce in a number of different dishes, and i can't think that i'm the only person who has ever done so. i got a lovely recipe for a warm spring soup including mushrooms from martha stewart omnimedia, in an article featuring recipes from an inn's award winning restaurant. i doubt this restaurant serves its spring soup for free.
Since sandals and sneakers are generally considered shoes, i think stilletos are also worth mentioning.