Well good news is you found the root cause of your problem!
Soak it in penetrating oil overnight, then wipe the shaft with acetone to remove oil and wrap the shaft tightly in something like thin rubber sheet or lots of saran wrap etc. then a rag and duct tape to hold it all sealed tight ( to block off all the holes in the side of the shaft. ) make sure its wrapped gook and tight, then put air pressure into the hole in the end of the shaft.
If you can get one of them out, then go in through the open hole with a punch to tap out the other plunger.
I had the same issue, they were stuck solid, but eventually got them out this way, just had to do it a couple times to get a good seal on the side holes, so I could get a full 150 psi. down the center hole without leaking out!
Caution: be prepared for the piston plunger to launch itself violently once it breaks free and don't loose or damage it!