Engine wont rev. Fuel pump?

[Nookie]

Hello.
Today I was driving my hachi to shop, and there were very little fuel in my car, it began to shake, etc... (because of lack of fuel)
So i hardly got to fuel station, filled some fuel, started my car and noticed, that it won't rev. If I 'pump' (push very often) gas pedal, it revs to about 3-4k rpm, but if I release accelerator - engine's rpm's drops to about 500-600, and finally stops. Same situation when i push accelerator stronger, and hold it. Tried to tow the car, but it won't help (engine starts, but still won't rev) Engine is breathing VERY hardly. To keep the rpm's i have to pump my gas pedal...
What can be wrong/damaged? How to check is the fuel pump working? Maybe someone had similar problems?

p.s. these problems started today. Never had same problems. I know, that when you run out of fuel, pump gets some air, but if you make engine running for few minutes everything becomes fine.