You said the pump was rebuilt. What does that mean?
With only 23 lbs, it sounds like a plugged jet, or possibly (since you said it was new) a wrong nozzle and venturi. More than likely though, the jet (nozzle) is plugged with a piece of scale. When you pull it out next time, take the jet off and look into the venturi tube. You should see the nozzle below it and the hole in the nozzle should be clear. Also wash it out in a bucket of water to flush any scale that might be hiding in it. Take a drill set and measure the hole size in the nozzle and venture. They should be in 32nds of an inch or smaller.
You said water is only 13' below surface, a shallow well jet pump would work fine from that level unless your water level fluctuates to below 25 feet.