Thanks for writing to health care magic.
could be the cause of recurrent sneezing
your baby is having. That allergy could be because of various causes. It could be allergy to pollen or dust etc.
Nose picking could be cause of that nasal bleeding
. A local examination will help in identifying the cause. Some times further investigations are required.
Your child may require antibiotics for those swollen lymph nodes
which are tender after examination and prescription by your doctor.
Continue to ask further queries as required.
Hope this helps.