Wouldn't it be easiest to just suck fuel from a clean bucket and a line first, to see if the pump is actually working, and then to chase down fuel line issues? Is there some reason you installed a new fuel pump? Those mechanical fuel pumps are pretty simple, and aren't usually a problem.
Are you saying this because you know the shaft that drives it isn't turning, or that you don't see fuel being returned out of it?
Agree I'd be trying to confirm if the pump is turning. One simple test would be to as crane operator says hook a hose to the suction side of the pump and stick it in a bucket of clean fuel and then have a hose coming off the output side of the pump running back to the bucket. Then crank the engine over. It should pump a steady stream of fuel after a few seconds cranking. You could get all fancy and after you have flow of fuel connect a presure gauge to the ouput port and crank over some more, should be able to pump around 60 psi.
As for how the pump works it is a simple two gear gear pump that is driven directly off the shaft in the governor any time the engine turns the pump should turn. No hydraulic drive or in/out clutch.
I'd be more thinking a plugged line or fitting in the tank or a suction leak in the line from the tank to the primary filter, the filter housing itself or the line from primary filter to the pump. That's why crane operator and others like myself are saying to do a test by eliminating everything up to the pump on the suction side.
Those gear pumps are very tough, we used them on shop built washstands for years and they would pump dirty solvent for years with out a problem. So unless you have an extreemly dirty water contminated fuel system it shoould work just fine.