The fact that they're called "daytime running lights" should give you some sense that they're not intended to be sufficient for nighttime driving. Yes, it can be very dangerous to drive at night without proper illumination of your vehicle. You don't get excused from traffic laws when you're in a parking lot that's open to the public, even if it's privately owned.
Presumably your state has a charge for driving without your headlights illuminated; if you find such a statute and if the penalty is less than the careless driving charge, consider negotiating with the prosecutor for an amendment of the charge. (Or otherwise negotiating for a deferral, dismissal on costs, or other beneficial resolution.)

