That missing spline isn't causing your problems at the moment.
Yes, the exhaust valves come out the back. The picture is the intake valve, I think.
WRWTexan said the exhaust valves can leak allowing backflow, but to completely disable the pump the exhaust valve, and intake or piston on the same cylinder would have to leak significantly. Put the pump back together and see if compressed air will blow through it backwards, that might tell you something? Then clean the outside before you take it apart anymore.
Yes, the exhaust valves come out the back. The picture is the intake valve, I think.
WRWTexan said the exhaust valves can leak allowing backflow, but to completely disable the pump the exhaust valve, and intake or piston on the same cylinder would have to leak significantly. Put the pump back together and see if compressed air will blow through it backwards, that might tell you something? Then clean the outside before you take it apart anymore.