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Your symptoms aren't the classic symptoms of the coronavirus.
Mouth ulcers and sore throat aren't common.
Chest pain also isn't common (unless related to significant coughing).
You don't have the two most common symptoms -- cough and fever. And worsening difficulty with breathing is what is the most worrisome symptoms of the COVID-19 virus. So if you don't have those symptoms, your doctor would likely ask that you monitor your symptoms at home.
If the chest pain is worsened with exertion -- then getting your heart checked out would be important here.