Plywood is definately not adviceable for use as a high performance foil. On total I have four plywood foil breakages before going to strip-plank solid core. We even covered one set of foils with 600gsm triaxial S glass but the plywood core was unable to handle the loads
Strip plank solid spruce did the trick on the Tornado. For an F16 the rudder foils could be done the same way or even with a laminated hollow wooden core like Marström.

For the daggerboard wood is probably doable if you dont go to radical with the length and thickness. Old 18squares etc used wood based foils with success but they can be heavy and flex.
Covering a wood core with carbon is certainly doable, if you dont go too extreme. You can go extreme but it might break. That is what we have structural engineers for, and even they get it wrong now and then.

Wood is good. Carbon is lighter, stiffer and might also break


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