Congatulations, you got one of the cheap, cheap tickets to New York. However thats not the kind of ticket that keeps BA in business, its the 70 Club passengers up front paying several thousand pounds each that pay the bills, so turn right at the door and head right to the back of the aircraft little man.
PS I wouldn't be too smug about your ultra-cheap ticket to JFK. February is at the tail of the window when the cabin crew might strike and slap bang in the window when the flight crew couls strike, so you may well find us want, want, wanting while you're stuck in the terminal in JFK. I, on the other hand, have booked my tickets on another carrier.