1 - no they should be temp related i.e linked to a sensor
2 - you should hear the pump prime as the ignition turns on
3 - no necessarily not fuel related, maybe not enough getting through to ignite and no fuel
possibles - fuel pump, fuel pump fuse, fuel pump relay, cam/crank position sensor, immobiliser fault that is cutting the fuel/ignition
food for thought, you need to read the codes really, sorry it's not much help