Hmmm. Not sure. I'm surprised the cold snap killed lettuce and spinach, I've heard of people germinating lettuce in western New York, my old home, in spring with freezing temps at night. I think the lettuce and spinach seed is a goner. Not sure about beets and parsnip but I do know beets need a lot of water to germinate, next time you plant beets soak them in water overnight (unless you already knew that). Sift through some of the soil to see if you find any beet seeds, if not they probably rotted.