I have replaced several pumps over the years so here is my procedure. Others might offer a different pathway, but for just being an old garage mechanic here is how I would approach it.
As aforementioned by others heres the drill:
First, do you have water in the tanks (v-berth and starboard settee tanks)? Are the flow valves open at the bottom of the tanks? Yes, then so far so good, we have a water source. I doubt you have any blockage, but you can always disconnect a line from the pump to check flow (even graviity flow) as you follow procedures.
Locate and maintain the best acces to the pump you can. Get the cushions far away as they may get wet! Make sure the water pump switch on the panel is on and your battery switch on (both batteries). Any sound from the pump? Feel any vibration on the pump? No? Even a dry pump will make noise.
Panel switch off..............find the two wires coming off the pump (proabably red and black) and if taped to another wire remove the tape so you can test the connection. Use a multi-meter, DC tester, etec, to check the circuit (once you turn back on the switch). Any current in line to the pump? Yes? Pump not running? The pump is dead........................
No current in the line? Fuse/breaker, damage in the line, faulty connection somewhere. Switch is probably the culprit. Remove another switch from the panel thats good (nav lights for example) and try that in the place of the pump switch. Work? Replace the old switch. Check the pump again.
You can always remove the pump and bench test by just adding juice to the connections. Simple 12-volt motor. It spins or does not spin.
When replacing a fresh water pump its a great idea to add an in-line accumulator that will add pressure, water reservoir and longevitiy to the system. They simply install in-line and will provide better water pressure, especially that shower!
Replacing a water pump is quite easy. Make sure you buy one with the same specs (water pressure, voltage, etc) as the old one. Its a good time to replace fittings, hose and clamps as well.
Good luck and let us know what you find
Bob
1988 Mark II