diaphragm in photo is off a pulsa-Jet carb, and looks poor to me...! I would replace it.
Part numbers that I have for that carb are....
Diaphragm (1) 270026
Gasket to engine 27355 (2) are used
On the intake elbow mounting (carb/engine)
You need to put two there? Doesn't it only need one?
Pump is on the side of carb, 4 screws 1" X 1.5" plate. Pump Diaphragm underneath.
Congratulations and god luck.
Were you choking it when you tried restarting? If you were, it may have been flooded.