It definitely sounds like spider mites on the leaves and the fine webs on the plant. They can do a lot of damage in a hurry. I would suggest buying a miticide spray and spray the plant with follow ups at weekly intervals to get any newly hatched ones. Spider mites like warm dry conditions so keeping it cooler and misting will help discourage them.
The stuff on the soil could be mould or fungus. Not sure about the balls you mentioned. I would suggest getting rid of all the old potting media and inspecting the roots. Cut of any dead, limp, mushy ones. They should be firm. My cyms don't really have fleshy green roots like a phal, more tan coloured but if they are firm you will be able tell which are alive and which are not. I would try and wash the entire plant before re-potting to get rid of any other nasties that might be there.
I'm sure you will get some more advice for it here. Good luck.
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