Hello Darrell,The first picture showing the water pump shows a white handled valve. Does this valve control switching from city water direct to filling the fresh water tank? If it is, then I suspect that is where your problem lies. I'm betting the valve does not close properly thus allowing your tank to slowly fill. This will also cause your water pump to cycle simply because the isn't always enough presure to activate the switch that shuts it down. Yours looks like it would be easy to replace. It is best to remove the valve to take it to your RV Dealer as a sample. There are many variations to that valve.
Good luck
Darrell
That valve switches to the open-ended hose, possibly for flushing (?) See the picture further up when I initially posted. Nothing flows out of the open-ended hose when the valve is closed.