This sounds like a viral cold that has moved into your sinuses. The blocked nose, ear fullness, and pain across your face, teeth, and forehead over the eyebrows are typical sinus congestion, not a dental or ear problem on their own. No fever is a good sign, and a dry cough can follow once drip from the blocked sinuses starts.
Next Steps
Steam inhalation several times a day and a saline nasal rinse help clear the congestion. A general physician can advise a suitable decongestant or antihistamine, and check if antibiotics are needed if this doesn't ease in a few days.
Health Tips
See a doctor sooner if you get fever, the facial pain turns severe or one sided, or your vision changes.