Hello vcarmon!
Yes, I would suggest that you change the media to a cactus/succulent mix or if you have no access to that for now, mix in perlite and pumice to your existing media. I do not know where your location is, but if your area does not get onerous winter conditions, they can stay outside, they can take the cold conditions as long as kept drier. But I do see it is making new pairs of leaves in the middle, it may be also just dropping older leaves. But do change the media if you can to really make it very well draining.
If your area is too high in humidity, all the more you have to be careful in watering. Water at the soil level, not the leaves. It is different with rain, and if outside, there is more air movement to dry them out faster. Give it as much bright light as you can, and allow the media to dry out before watering again. Adjustments in watering has to be made as seasons change..the colder it is the lesser watering it needs.
Those fallen leaves, you can try to set them aside, and see if it will try to form roots or new leaves at the base. Sometimes, maybe it can do it given time to dry and feel warmth, but not direct sun. Though there are some blackened parts, it may just try to callus that part. So good luck! Hope it recovers!