I have a spectrum 520 which is a little younger but the water system is a nightmare. The system should work from both. If you are able to pump the water in to your inboard tank using the outside pump you can eliminate the pump it self.
If the pump is running when you switch to the outside pump and open a tap you have to look at the valves under the front locker. Mine has 3. 1 that opens and closes the feed to the inboard tank 1 that opens and closes the feed from the outboard pump in to van and 1 that is a drain valve. close the inboard one, close the drain one (which I normally forget and the water runs out under the front)and open the outboard one. If the pump runs and there is still no water the little checkvalve maybe gone. Hope this helps Theo