OK. It's a submersible well pump. Five GPM is a small pump; about the smallest that might be installed. I assume that you are talking about 5 GPM at one hydrant at a time.
A jet pump will reduce the back pressure and increase the flow a little, but the limit might be your well. Also, if it is really a 5 GPM pump, you can't get much more through it and could damage the pump.
The 5 GPM limit could be your hydrant or piping. Try to find out how much water you have to discharge to keep constant pressure at the tank, below the shutoff pressure. How much water do you need to discharge so the pump never reaches shutoff pressure?
The next question is whether it is operating as designed, or if something happened to it to degrade it.
You can try to find out what the pump is by checking a couple of things.
Is it a 2-wire motor or a 3-wire motor? If it is a 3-wire there is a control box between the circuit breaker and the pipe to the well. If no box, it is a 2 wire pump.
Is the wire #14, #12, or #10?
What is the size pipe coming in to the house? Probably 1" or 1 1/4". A 1" pipe will be about 1 3/16" OD. A 5 GPM pump doesn't need any more than 1".
You could detemine the size of motor by measuring the current when it is running, or by measuring the resistance of the windings. You need to find someone with a meter. The resistance of windings of submersible motors is published by Goulds. They will apply even if it is not a Goulds pump.
If you have a 75 psi relief valve on the pump you could determine the pressure margin of the pump by throttling it down and over-riding the pressure switch, and measure the flow at 75 psi or some other pressure.