Brief Answer:
Sinusitis the trouble, needs management

Detailed Answer:
Thank you for asking
Sinusitis, allergies and dizziness all connect very smoothly to an inner ear involvement, All your symptoms from headache to teeth pain and pressure sensations on the facial areas are due to these sinuses infections due to congestion and it is pretty common.

Nut shell you need a management for the sinusitis and unless it gets cured the tinnitus will prevail. Inner ear infection AKA labyrinthitis cause that.

following are the management options for sinusitis , discuss them all with your otorhinolaryngologist and see what comes up best for you.

Saline nasal irrigation, which you spray into your nose to rinse your nasal passages.
Nasal corticosteroids. These nasal sprays help prevent and treat inflammation. Examples include fluticasone (Flonase), budesonide (Rhinocort Aqua), triamcinolone (Nasacort AQ), mometasone (Nasonex) and beclomethasone (Beconase AQ).
Oral or injected corticosteroids. These medications are used to relieve inflammation from severe sinusitis, especially if you also have nasal polyps. Examples include prednisone and methylprednisolone. Oral corticosteroids can cause serious side effects when used long term, so they're used only to treat severe symptoms.
Decongestants. These medications are available in over-the-counter (OTC) and prescription liquids, tablets and nasal sprays. Examples of OTC oral decongestants include Sudafed and Actifed. An example of an OTC nasal spray is oxymetazoline (Afrin). These medications are generally taken for a few days at most; otherwise they can cause the return of more severe congestion (rebound congestion).
Over-the-counter pain relievers such as aspirin, acetaminophen (Tylenol, others) or ibuprofen (Advil, Motrin IB, others). Because of the risk of Reye's syndrome — a potentially life-threatening illness — never give aspirin to anyone younger than age 18. Some of these medications can make chronic sinusitis worse, so be sure to check with your physician before starting any pain reliever
Aspirin desensitization treatment if you have reactions to aspirin that cause sinusitis. However, this treatment is usually available only in specialized clinics and medical centers.
Potentially more effective methods of delivering medications to the sinuses are being studied.

Antibiotics

Antibiotics are sometimes necessary for sinusitis if you have a bacterial infection. However, chronic sinusitis is often caused by something other than bacteria, so antibiotics don't always help.

Immunotherapy
If allergies are contributing to your sinusitis, allergy shots (immunotherapy) that help reduce the body's reaction to specific allergens may help treat the condition.

Surgery

In cases that continue to resist treatment or medication, endoscopic sinus surgery may be an option. For this procedure, the doctor uses an endoscope, a thin, flexible tube with an attached light, to explore your sinus passages. Then, depending on the source of obstruction, the doctor may use various instruments to remove tissue or shave away a polyp that's causing nasal blockage. Enlarging a narrow sinus opening also may be an option to promote drainage.
Take some TCAs and alprazolam / anxiolytic for the tinnitus meanwhile. Use betahistines if the symptoms prevail
I hope it helps. Take good care of yourself and dont forget to close the discussion please.
May the odds be ever in your favour.
Regards
Khan

---