1. Will the pressure stay when you turn off the pump if you are not using water in the house?
If not, I would set the air precharge to maybe 5 PSI or even zero. Then turn on the pump to get the pressure up to 16 or 17 PSI. Then turn off the pump. What happens to the pressure. Does it stay? If it drops, how fast?
What is that about? If the pressure does not hold, there could be a hole in the pipe down the well.
Do set the precharge air back up once you fix things before you power the pump. You don't want the pump pumping water pressure a whole lot higher than 24 psi higher than the air precharge.
2. If that holds, measure the voltage at the pressure switch of the voltage going to the pump. It it about 24o volts? If so that is not it. If you measure about 120, maybe you have a "230 volt" pump. Check your records.