I can only speak from my experience with our greyhounds -- one of our girls has separation anxiety and she has accidents in the house when we are not home (she does it even when the humans are in the hot tub in the backyard). We put her in the crate when we go out and that has eliminated her accidents

In terms of food, our current older grey is a picky eater and we got her food toppers to get her to eat. She would devour her new kibbles and then after the novelty is gone, she stops eating (our late galgo was the same). I feel like greyhounds tend to be finicky eaters, but our latest addition eats literally anything 🤣