The "feed line" is the inlet line. If it has a leak, it will admit air into the line and diminish the ability of the pump to get to pressure. That applies to a jet pump (see below).
Do you have a shallow well jet pump or a submersible pump? A submersible pump is down the well and you can't see it. There will only be a line coming into the house. If you can see the pump in your house, it is probably a jet pump. If the pump is in your house and there is only one pipe going out to the well, it is a shallow well jet pump. Can you tell us the model number and manufacturer of the pump?
If you have a submersible pump, you may have a failed pump or a break in the pipe from the pump to the tank.
The check valve is probably a brass fitting in the pipe that is slightly larger than the pipe. You don't always have one that you can see. It may be a "foot valve" at the bottom of the well if you have a shallow well jet pump. If you have a submersible pump, it is probably in the pump.
What kind of well do you have? Is it a drilled well (probably a 4" pipe in the ground) or a "dug well" (probably 2 to 3 ft diameter with a cover over it)? It is possible that you are running out of water or that it is too low to pump with a shallow well pump.
If you have a jet pump, it is possible that the internal jet can be obstructed, causing it to be inefficient.
Tell us more about what you have and we can give you some more ideas.