Sharp pain in right nose, pressure in eyes, forehead and now teeth, all on right side mainly, just got over a month long sinus infection, could it be another one or just pregnancy rhinitis?

Yes may be sinusitis: It could be return of sinus infection. Does saline nasal spray help relieve the pressure? Do you have a fever or swelling over the affected area?

ENT Visit Required: Sure, a sinus infection/reinfection could be the cause; however, recurrence this soon, with "sharp pain" is not normal. Pain radiating to the teeth, is definitely a sign of either the primary etiology being a dental infection from the beginning, or maturation of a sinus infection, which could be either primary or secondary in nature. The Osteomeatal Complex is convoluted and needs evaluation.