What can be done for acute maxillary sinusitis?

Many things: Clear the nose with saline rinses, using a bulb syringe or neti pot. Promote drainage from the sinuses with decongestants - either oral (tablets) or topical (nasal sprays). If symptoms persist for more than a week, get evaluated by your physician for whether an antibiotic might be appropriate for you.

Antibiotics: Can be treated with antibiotics. However have your doctor evaluate you to make sure there is no other issues along with the sinusitis.