The biggest shown is translucent and soon after it started drying cracks began to appear and this morning they are quite pronounced.
That's unfortunate, it looked like a nice pearl.
In the event you might encounter other specimens with those translucent pearls, there are a few treatments you may try.
Divide the transluscent from from the opaque. Blot them dry, fold them into a soft cloth and place them in jar or other non-metallic contain allow them to stand in cold, dry place for a few days.
Imagine if you will, how wood reacts when it's air or kiln dried. A slower, more controlled cure prevents cracking, while kilns can warp and crack wood severely.
Once the moisture content becomes lower, treat with polyethylene glycol. It's an inexpensive burn treatment available at any drug store, just be sure it's not otherwise medicated.
Achaeologists use the stuff all the time, expecially on artifacts recovered from shipwrecks, or even the salvaged wrecks themselves.
Conchiolin consists of polysaccharides and glycoproteins. The "poly" (even though it means many) will re-bind the sugars and the "glycol" will soften and even reconstruct the long-chains so they won't overly degrade in dry air. The "ethylene" part will act as the solvent to assist penetration and saturation.
You might be able to use automotive cooling system antifreeze (not window washer formulas) in the absence of anything else, but it often contains other additives like dyes and rust inhibitors.
I'm not suggesting it will work definitively on pen pearls, but you certainly have nothing to lose by trying.
I thiought about mineral oil as well, but I'm not certain if it will displace water sufficiently, without some rancidity.
Again, you're a lucky person! Finding natural pearls never gets old!