I don't know about putting them in the freezer or refrigerator. Someone may say they like that course of action, but personally - I don't like exposing them to that much temperature differential.
Sounds like mold. Particularly if over-humidified. If they are easy to return and get refunded, you may consider doing that. Probably depends at least somewhat on how long you have had them. May not be feasible.
If moldy, I would gently wipe the mold off with a damp cloth, keep segregated from the other cigars. The boxes will likely be overhumidified, and almost certanily will contain mold spores.
It's late, I'm tired. Not sure if I have two brain cells to rub together or not. But, at the moment what makes sense to me would be to wipe them down, don't return to moldy boxes. Place in large plastic zip locks with one or two boveda packs, place the whole bit in the wineador. If you get 65% boveda packs, that should be right for cubans and the boveda packs should slowly pull the extra moisture out.
What you want to avoid here is extreme change and rapid change. At the same time you want to keep the cigars with mold from contaminating the rest of your cigars.
Hope this helps.
ETA - to be clear - you want to avoid extreme change in both temperature and RH. And rapid change in both.
If you have on hand some empty boxes sitting around that aren't too dried out, you could put the cigars in there and the boxes should pull some of the extra humidity out. Problem is, I would think most empty boxes sitting around in the North East US might be too dried out and cause too much change too fast. The Boveda would probably be kinder and gentler to the cigars. I can buy Boveda packs at the local B&M for $4.