Thank you all,
I have moved the plant back into the sun, and I'm gonna repot it, mixing a bit of sand into the pot.
It's not a succulent, however, but I think I am guilty of the watering-a-little-but-often thing instead of just waiting till it dries out and then watering it throughly. I'll also stop using fertilizer for the moment being.
Again, thank you both very much. I still welcome anybody who might know anything about the problems I am facing with my Pilea (chinese money plant).