Agreed, very hard to figure out what's going on without pictures.
Personally, I've never seen a check valve fail to close if it's got the right spring in it. However, come to think of it, I can't say that I've really seen a check valve on a suction line... I've only seen a 'ball valve' installed in front of a pump when the pump was located many feet above the water level (so that the water wouldn't drain into the pool when the lid was opened.
Three check valves? I'm curious to see what's going on with this setup ;-)