Yes, you have partial insurance coverage options.
Insurance will generally cover any surgery to correct airway obstruction including septoplasty and/or nasal valve repair and/or reconstructive rhinoplasty.
So, in your case:
Insurance is likely to partially cover a septorhinoplasty. The internal repair of your nose to improve your breathing issue would be covered by insurance, but the smoothing of your dorsal hump is considered solely aesthetic, so it would not.
Insurance should completely cover ESS (Endoscopic Sinus Surgery) - to address your chronic sinusitis - without any trouble.
Your chin implant surgery would not be covered by insurance.
You could, however, choose to have all 3 surgeries done together which would lower your total costs vs. the option of doing 3 separate surgeries. It is already very common to combine rhinoplasty with chin implant surgery to create a harmonious balance of your facial features.
With regard to your sinusitis issue, correction of a crooked nose alone, particularly on the inside, may help to improve that condition. You may consider proceeding with that nasal surgery first (along with the chin implant surgery if you so choose), before considering Enodoscopic Sinus Surgery (ESS).
However, if investigation into your sinusitis problem, including CT scans of the sinuses, reveals significant sinus disease, you could certainly have the ESS performed at the same time as the septorhinoplasty and chin augmentation.