It is an electrically driven pump, so if the engine were running, the alternator would deliver far more electrical power than required by the pump. More likely is that the fluid level in the pump is low, or less likely the pump itself is not working properly. Even if the tyres were a bit down, the pump provides so much assistance that this would not be a factor
Someone else can assist with the radio key code, there is a way to default it, but I cannot remember how