I THINK MY FUEL PUMP WENT OUT BUT IM NOT SURE IF ITS THAT OR NOT

I was driving down the street and went to speed up and the car did not speed up. So I pulled on to a side street and the car stopped and did not want to start back up I thought that I maybe ran out of gas because the gas gadge is messed up but when I put fuel in it, it did nothing. I tryed banging on the bottom of the gas tank while trying to start it and it also did nothing. Also after sitting outside for about a week I went out to try and start it and it no longer sparked the starter but I think that the battery died because the driver door was no closed all the way.