Throat infections/tonsil infections do radiate to ears because they share a common nerve. However a sore throat persisting over a week in current scenario or otherwise is better treated and not ingored till it gets severe. In current scenario it will depend on other chest symptoms, other comorbidities like
diabetes and hypertension etc along with travel and contact history to make decision. If this is really bothering you then better to get screened than not.
Now regarding nose block, if there are other symptoms like runny nose , headache, nasal discharge etc then might be a sinus issue.
Next Steps
Consult an ENT surgeon online/ face to face
Health Tips
1. Start warm salt water gargles.
2. Steam inhalation.
3. Avoid very cold food item for few days.