Hi, I have had a sore throat, chesty cough and excess saliva for past week. No pain medication is working. Should I see a doctor?

Seasonal flu. It is very common viral infection. Usually the condition resolves on its own with home care. Drink water and get a good rest. If there is no improvement or sore throat is severe or lasts longer than another week, or you are getting joint pain; see your pcp for evaluation.