A tumor is an abnormal mass of tissue, which doesn't necessarily mean that you have cancer. Tumors can be benign, not cancerous, or they can be malignant, pre-cancerous. Another name for a tumor is a neoplasm.
The only cure is rest. Antibiotics don't work because these are viruses and cold medicines help with symptoms so you feel a bit better but rest is really the only cure.
To keep from losing gains in fitness, it is necessary to maintain intensity levels. True.