Cant Hear Humming From Fuel Pump

Should I see if the fuel pump relay switch is working

Yesterday a friend of mine checked for spark which we didnt get, we also didnt hear the pump kick in with its sound. We also replaced the asd relay switch just to make sure it was okay About an Later we decided to try starting it again and with about ten cranks of the ignition it started up. It starts up really weird like starting with a dead battery but its brand new. We then decided to put the old asd relay switch to see if it would start and it did. It seems when the temperature warms up this van will start for some reason. Why is it at times when I go out in the morning to start the van I cant hear the fuel pump engage and later or other times it kicks in. Someone told me we should try to replace the ignition swith so im wondering if I should spend the money to do so.