Im 16 and have a sore throat with pain in my ears and cough. i cough mucus. do i have throat cancer?

Sore throat: First of all, throat cancer in a teen is exceedingly rare. Iow, you don't have cancer, most likely. Also, you wouldn't expect excess mucous from throat cancer. You most likely have a bad cold, or possibly a sinus/ear infection. If you are still concerned, see your doctor. Feel better!

Very unlikely: Anything is possible, and more unlikely causes like cancer should be considered eventually if your condition does not respond to typical treatment. However, your symptoms sound much much much more suspicious for infection. At your age, a viral throat infection is probably a million times more likely, if not more.

Highly unlikely: With these symptoms, the most likely diagnoses are respiratory infections. Call yourdoctor / primary care practitioner to schedule an appointment for an evaluation. Until then, reassure yourself that what you are experiencing is something that almost certainly will pass. Your doctor likely will determine if you have a viral or bacterial infection.