You should never suffer with starvation if your car has a proper tank in it, ive always had a habit of running my cars very low on petrol and have never had any problems with starvation.
Your fuel pressure is too low if you get no fuel out of the injectors (if you remove an injector and try to crank the engine you wont see any fuel from the injectors as you've created an air leak - you'll need to push the flap by hand)