Your photos show you are utilizing two water supply systems. The well pump, is controlled by the pressure switch placed on the tank Tee located directly infront of the blue Well-X-Trol pressure tank. That system seems to be working correctly as nothing related to that system is the reason for this thread.
As the previously requested photo clearly indicating the water path has not been provided, it appears the well system is routed through some manner of water filtration/softening equipment before entering the black cistern located on the left side of the larger photo.
As you said in post #20 "There is on the other side of the black tank which fills the tank", I suspect your reply to Fitter maybe referring to a solenoid valve located on the opposite side of the cistern. If so, that valve is likely controlled by float switches within the cistern, to limit the minimum and maximum level of the water within the cistern.
As no pump is apparent after the cistern, it would then seem there is a submersible pump (brand, model?) installed within the cistern, which is controlled by the pressure switch shown externally near the top of the cistern. Water exiting from the cistern is then Tee'd in one direction to the Signature 2000 pressure tank and in the opposite direction to the inlet port of a UV lamp unit which is intended to sanitize the water before being supplied to household fixtures.
A submersible pump utilized in that configuration, is usually capable of a substantially higher flow rate than will be typically utilzed in a single family residence. If the pump is capable of 12 gpm, but only 3 gpm is flowing to a single shower head, then the excess 9 gpm will flow into the pressure tank, causing pressure at the pressure switch to rapidly rise to 60 psi, thereby resulting in the pump being frequently cycled ON/OFF repeatedly during normal water use.
I suspect the UV system has also contributed to pump cycling, particularly whenever the flow rate to fixtures was highest. The 3/4" supply connections both before and after the UV filter, seem to have been reduced to what appears to be 1/2" diameter. When a higher flow rate to fixtures is needed, the reduced diameter, will restrict the flow rate that can pass through, thereby resulting in the pressure at the PS to rise rapidly while the pump is operating, causing the PS to shut off the pump frequently even while a higher amount of flow continues to be needed at fixtures.
Valveman specified the reason for water hammer on shutdown in post #9, and also the cause of pressure tank bladder failure in post #11. Even with replacing the PT, expect continued excessive cycling will result in further water hammer issues and future premature tank failures. The CSV recommmended, will prevent the pump from cycling, since the CSV will reduce the flow rate from the pump to always match the actual rate of rate of water consumption, thereby keeping the pump running for the entire time 1 GPM or greater is being utilized. Once no water is further needed, the CSV will then continue filling the PT at only 1 gpm, causing the pump's check valve to be barely open, and so the CV will close more gently once the pump becomes shut down.
Although a CSV will allow the 1/2" UV unit to continue to be utilized without cycling, a 3/4" or 1" UV filter will usually be more effective, particularly while the flow rate to fixtures is high. UV filters function by exposing bacteria to UV light for a sufficient length of time for bacteria neutralization to occur. By using a UV filter that is too small, flow velocity past the UV lamp will be too high, resulting in insufficient UV exposure, so some bacteria may continue to pass through the filter without becoming fully neutralized. A larger 3/4" or 1" UV unit will be equipped with a higher output, longer length UV lamp, which will provide increased UV exposure even while the flow rate to fixtures is higher than usual.