The pump switch is engaged and the pump runs for a few seconds
The stops ate about 30 seconds it turns on again and this is repeated
Continually.

What is the pressure gauge reading when pump switches on and what is the pressure when the pump switches off? Is any water being used?

The pump switch is engaged and the pump runs for a few secondsThen stops , in about 30 seconds it turns on again and this is repeated Continually.

If it is doing this continually, whether water is being used or not, then a bad foot valve or check valve is the likely culprit. If it only does this when water is being used, then you look at the pressure tank diaphragm.