Welcome to All Things Plants, Greg!
Your veggie seeds should germinate just fine, as long as you keep the ground moist so the seeds don't start sprouting and then dry out (they definitely don't need freezing temps to germinate). And your growing season is plenty long enough to mature any of those types of crops; lettuce can be succession-sown all season, and broccoli and cauliflower make great fall crops as well as being grown for the early season.
