Shell rot is caused by a lot of things. Generally, it's because something is wonky in the water that's allowed for the infection to take hold in an existing injury. Too much food and debris trapped in the water or substrate for a prolonged period of time will do it. Along with weird pH levels and the like. Over-crowded tanks and stress are also know causes (well, there's debate on whether it's causes or just contributing factors). Check everything in your tank to make sure nothing is spiking or being out of the norm.
A side note, Marbles are bred to be highly non-aggressive. Having them with another species of crayfish may be detrimental to their health. But that's an observational call for you to make.
Anyway...
For minor injuries, you can use Melafix. However, more than likely it will not do anything (and may not even slow down the process). And one should keep in mind that Melafix is entirely organic and can act as food source for certain types of bacteria. This leading to a bacteria boom in the tank. So, personally, I would recommend not using Melafix for anything and finding alternative treatments to any issues you may have. But that's a call for you to make. That aside, you can use the following treatment for Shell Rot:
"1.) Grab a set of scales and measure out 35 grams of salt.
2.) If you don't have micro scales a good teaspoon is around 4.7grams, so 7 nice teaspoons will do.
3.) I don't mind what salt you use, personally I prefer pool salt.
4.) Throw that in 250ml of boiling water and stir in until dissolved.
5.) Then take 750ml of water from your crayfish's tank put it in a 4 litre ice cream container or something similar with high sides.
6.) Add the dissolved salt solution to it and stir again.
7.) Drop an air stone to keep the water nice an aerated.
8.) Set up an alarm clock/timer to 10 minutes.
9.) Drop your crayfish in and make sure it can not escape.
10.) Go do some maintenance on the tank.
11.) Come back and remove your crayfish when the alarm goes off.
12.) Repeat every 3 days as needed until next moult or lesions are "bleached out".
Please note, nothing will CURE shell rot. What you are doing is slowing down the process so that it doesn't reach the layers of shell underneath the infected one, so that when the crayfish molts it will be free of the infection.