Hi Dance! Welcome.
I believe those have 2 15" passive radiators. One fires up and one down. Those are difficult to access for reforming. You may be able to knock off or unscrew the base. The top will have to be sawed, to open it up, to get to the radiator. Many cut out a square piece in the very top, to allow the passive to the pulled. Then use a piano hinge to reattach the panel. That makes for an easy access door.
Also, there are 2 5.5" Polydax midrange drivers on eBay, that should work in your speakers, if needed? Make for a back up pair, at least.
The dome tweeters could be Morel? Parts Express sells replacement diaphragms, again if needed? If the JVC ribbon tweeters play, they should be OK.
Next, the woofers. They look a little dusty and dirty, most of which should brush off. If mildewed, lay the woofers in the sun, then clean with a soft cloth. Isopropyl alcohol may clean it too.
Also, two woofers look mismatched. I'd compare part numbers, across both speakers, to see if they match? If so, it's probably not a big deal if 2 don't have the phase plugs. If not the same, if they sound fine, I'd leave them as is, as original replacements are rare. But, AC member Pat Malaga may have them. You could PM him and ask. One other source could be Parts Express. Brian C. was using Goldwood woofers from them. The heavy duty versions. They'd have 12" and 15" replacements. Four or 8 Ohm, depending on what your's measure?
Now, internals. You could probably leave the capacitors alone. Brian typically used good parts. But, if you do want to update the crossovers, I'd suggest using either Parts Connexion or Sonic Craft. Both companies offer very good capacitor brands, like Mundorf and ClarityCap. Plus, they off parts matching. That way, you'd know the parts measure correctly, and they'd be matched together in pairs; for both speakers. I do that on my recaps, and have used both companies for parts, without issue.
Finally, have fun, and take your time. That's a great project to work on. And most importantly, Thank You for your service!!!