In the Airport Delay Map, are the delays (red, yellow, green dots) related to the FAA Airport programs and FAA status?

No, not directly. The airport delays in the Airport Delay Map are calculated using a proprietary FlightView algorithm based on the departing flights in the past 2 hours and how late they were relative to their planned departure times. The FAA Airport programs and FAA status are defined and issued by the FAA (Federal Aviation Administration).