Brief Answer:
you may need antibiotics for the sinus infection

Detailed Answer:
hello

Please dont worry as sinus problems are very common and can be managed easily once the cause is known. In your case the problem seems to be coming from an allergy and the sinus problem may resolve once the allergy is taken care of.

Please meet an allergy specialist , he will ask you to do some allergy tests and a ct scan of the nose and sinuses to see the extent of involvement, once this is established, you can be treated accordingly.

Bleeding from the nose indicates hat the infection is involving your sinus and you may need antibiotics for it, please meet your ent doctor for the prescription.

Meanwhile i would like you to start steam inhalation 2-3 times a day and avoid blowing your nose forcefully, as it may increase the bleeding.

You can also put oxymetazoline nasal drops 2 drops 3-4 times a day and this will help in controlling the bleeding.

Please let me know if you have any other doubts!

Thanks

---