You've obviously got the threaded bung and spring out. Take the Selector Shaft out then you can thread some wire in through the hole for the Shift Rod, but steer it up the hole with the detent. Another way is with some light air pressure, if you can't get what you have to work with in through the Shift Shaft Hole and in to the detent, block off one side of the Shift Shaft Hole and inject your Air in through the other side. Sometimes just loads of cleaning fluid pouring in and a good bang upside down gets them out. These are the easy ones. The Reverse one can be very trying.
Guess what? The spare casing I've recently bought has the reverse plunger still in. Bloody thing will not come out. I can get it to rotate but can't pull it out. Any tips? I've tried picks, forceps, lubricant. Really annoying. What does it actually do? It hardly moves up and down.
It is in one of those places that doesn't drain oil and the muck that's with it too well so yes, they can get really gummed up.
It's purpose is to hold the shift rod either in Neutral (that that's also does with the Interlock) and Reverse when selected. Without it, you'd find it would have a tendency to jump out of Reverse.
I can't say I have a magic bullet method of removing them, but I haven't been beaten yet. You may need to buy a long series drill bit that's as close as you can get to the diameter of the drilling in the case then (cringe), grind the tip flat, poke it up the hole, press as hard as you can while turning it by hand or maybe super slow speed in a drill, just be super careful. You could try a steel rod first, just grind a slot down one side of it so as it 'reams' the drilling (without material removal - but read on) the muck has somewhere to go. It's also likely after all these years that the alloy will have swelled that little bit too. Then clean the hole and keep cleaning it. There's also a vent on the flywheel side of the drilling, that's further back in the drilling from the detent, this is to allow the space behind the plunger to breath, so the plunger doesn't hydraulic. With the extension nozzle spray a load of WD40 in there to help clean some from that side. You may also want to try some gentle air pressure in through the vent too, but just start at very low pressure and work up, but for safety's sake, screw the threaded plug back in before doing this, just a few threads will be fine. Just be careful if going this way.
Just thinking a bit more about this and your description of how it's behaving, I'm wondering if in fact the vent is blocked up ?
There's likely many other ways of shifting it, these I've done but also keen to hear if anyone has any others !
Once you get the plunger out, I find I can fish the spring out with a bit of steel wire with a small 'hook' bent in to the end of it.
Patience and good luck. Preserver and you'll get it.