[Goat Blower]

I'd check the fuel pressure, it sounds like the pump is leaking pressure back into the tank. The fuel pump will run constantly while the car is running so that is normal. The relay you speak of is the MPI relay, if it was bad, your fuel pump wouldn't turn on at all, plus it makes a loud click, if you don't hear that, it's bad. The air temp sensor in the MAS should throw a code if it's bad, but you could always check it with a meter just in case.