Here is a current picture.

Cactus & succulent soil mix usually doesn't have good enough drainage still, you should add at least 40-60% of perlite in there when you repot it next time.

I'm getting one of these myself tomorrow, so I don't have actual experience growing them. Was it red/purple when you got it, or green?
If it's supposed to be purplish red then it's a Pleiospilos nelli "Royal Flush", otherwise it's a Pleiospilos nelli. I know that Royal flush would actually turn green if received too much sun, so I'm not sure if that's what happened. Splitting of the newer leaves is normal, it might be making room for flowering. A closer shot of the plant might help identifying any problems, but from what I can see it is quite healthy!