There is a valve (piston) under each plug. Those are basically freeze plugs....beating around with a rubber hammer will not work. Plan on getting new ones.....either use a small screwdriver and hammer or run a screw in the center and pull them out. Seems like I drilled a small hole and used a screw to pull them. The service manual "may" address this.
While we are on the subject, I have worked on a car before and made sure everything...valves, springs moved freely. All back together and it still wasn't right. Bought new parts...valves/springs and installed them and it was fine.
My point, go ahead and spend the $50 or whatever the parts cost now and replace them.
The service manual has all the specs on the oil pump, so you can measure clearances and make sure it is all in good shape.
With "zero" pressure and good sending units etc. I would look at the pump gears before spending a lot of time on the valves.
The valves are sharp on one end.....I believe this is so that they will cut thru trash and continue working instead of getting stuck.