Hi Jason,
I'm sorry for the delay in responding to your questions; work has been so hectic, I haven't had a moment to breathe. I will try to take pictures tomorrow, but in the meantime, I'll attempt to explain the setup. There are four pipes coming out of the ground two are labeled as skimmers, one spa, and the other main drain. These each connect into the run of pipe that goes into the pump. The two skimmers share a diverter valve (allowing for each to be separately turned off). The spa and main drain each have their own diverter valve. There is a run of pipe that goes from the pump into a three-way Jandy valve that controls the flow of water to the filter and waste hose.
The history of the filter pressure is that it generally runs 15 psi with new filters, which we just purchased last pool season. However, the pressure has been consistently between 25 and 30 psi, even though we have repeatedly cleaned the filters. By the way, it seems that if we close the air valve, the top of the filter housing pops off, so we have kept it open. I hope this makes some sense.
When I said that the pump runs "fine" if only one suction line is used at a time, I mean that it does not lose prime or affect the filter pressure. I am not trying to use all three all suction sources at the same time. In fact, I have shut off the far skimmer and the main drains, so that all suction would come from the skimmer closer to the pump only. However, there is still very low suction, not even enough to pull the skimmer basket down.