Hi..
Thanks for the query..
Running sinuses can be due to allergy that can be due to environmental irritants like dust and mites, pollens, grasses, animal danders, certain trees etc..
Dry lips can be due to
chapped lips in dry climatic conditions..
So first of all you should consult an Emergency room and get checked so that it can be investigated if you have allergy or not..
If it is not due to allergy then you can be advised
allergy tests to rule out the exact nature of the allergen..
You can be advised antiallergy medications like Levocetrizine,
Claritin can be advised..
Along with it decongestant
nasal spray and saline
nasal irrigation can help..
For dry lips keep applying thick coat of petroleum jelly or beeswax containing Lipbalm.
You can do cool compresses as it improves blood circulation and can help in reducing dryness.
You can also avoid sucking the lips as it evaporates moisture from the lips..
Hope this helps..
Regards..