Whoa, white things? Could be some insect of somekind, you should try to clean your graveyard of insects. Take a spray bottle and wet the dead insects to loosen them, then carefully remove the dead body. You WILL trigger some traps by accident, don't worry, it won't kill the plant. Do grow them outside, the natural wind and rain cleans the dead insects of really well without triggering the trap. Where do you grow yur CPs? And don't water the plant with rice water, you will kill it, rice has its own minerals and sometimes dirt, not good for CPs. Good luck!
Cheers