the chinchilla might have pneumonia,it was a serious condition that should get checked by a vet,the symptmons are runny eyes,runny nose,stopped grooming,and loss of appetite,give the chinchilla plenty of fluids and take him to the vet.
I'd say he needs to be seen by a vet. Hopefully it's just an allergy or some little irritating dust up his nose. But with the discharge and sluggish behavior, I wouldn't take a chance. If he has an infection going on, it could get worse. Please take him in.