You must remember that (in tank) fuel pumps get lubricated by gasoline. If you run out of gas and keep trying to start the car with no gas in the tank....then the fuel pump is spinning without lubrication. So the pump can lock up. I see that occasionally here at my shop. However, if you put in enough gas to submerse the pump then beat on the gas tank with a Baseball bat then the pump will sometimes free up and work again.
If your gas tank has been empty for a week but you havent been trying to start the car with no gas in the tank then you will probably be ok. If you ran the car out of gas and kept trying to start it then the car sat for a week, then you may have problems. It all depends on the conditions that caused your empty tank and what you did after you ran the car out of gas.
If the fuel filter is clogged, it will act like it is running out of fuel. It can also cause the fuel pump to fail. The clogged filter will overheat the pump and destroy it.
NoNo
The fuel pump will still try to pump fuel even if the tank is empty.
Purchase an inexpensive hand pump and pump it out.
You need a new fuel pump
A plugged fuel filter can cause the pump to fail prematurely due to it having to work harder to pump the fuel through.
You haven't specified whether it is in-tank or mechanical. A mechanical fuel pump will very often fail after the engine overheat. Likewise, an electrical fuel pump will fail from contaminants or other causes of overheat to the pump itself. So, in short, yes!
No.
the fuel pump is located in side the tank, which you have to remove to remove the pump, the tank is located in the back of the car, would reccommend aftermarket shop, its easier to do this job on a lift, if you have to drain the fuel, the shops have fuel caddys to empty the fuel so they can re use the fuel.
It means either the fuel filter is clogged or the pump is about to fail.
Check the fuel pump float.
Either the pump is bad, or there is a short in the power wire somewhere. Sometimes you have a bad fuel pump rely too.