Some very good points! I’m certainly not a shutter repair person, and I recommend sending it to any experienced shop (like Carol Miller in California). However, the Compound is fairly simple, and if you must you can probably get it working.
The SK Grimes
webside has a good tutorial on repairing the Compound shutter. Once the cover is removed, you can operate the shutter and watch carefully to diagnose the problem.
The Compound shutters I have worked on all had metal aperture and shutter blades, but others may have composite blades. Beware that not all shutter blades are the same, so keep them in order if you disassemble.
Check the piston carefully, so as not to nick or damage anything. If the piston does not slide very smoothly through the bore, very carefully polish both with something like jeweler’s rouge, or in the worst case, crocus cloth. Anything else will remove too much metal and affect the timing. Check the end caps for damaged or dry seals. I have some gasket material from NAPA, and punch a hole with a paper punch and use the “hole” for a new gasket. A very small drop of oil on the gasket, left for an hour or so, will make a great seal.
Finally, put a very slight dab of “moly grease” on the spring cam that drives the shutter.
Good luck!