Thank you for posting your question.
Fever cough especially when associated with cold in an 11month old child is most likely to be viral. Some points that would favour it being viral is normal behavior in between fever spikes, presence of running nose or associated
diarrhea etc. In such cases an antibiotic like
azithromycin is usually not indicated.
However, for the treatment of such conditions proper control of fever and symptomatic relief is all that is needed along with patience and monitoring of symptoms.
In case you have started the course of azithromycin, completion of atleast 3 days of the drug would be recommended. As the cough is relieved by
levolin, I suggest you continue that along with other home made remedies like honey, ginger or warm water or milk with turmeric to sooth the throat. For the cold you could use any antihistaminic drug like cetrize or
chlorpheniramine. You could also use normal saline nasal drops for nasal block due to dried secretions or apply agents like
Vicks to the night clothes or bedding.
Apart from this keep a watch for decrease in general activity, urine output, respirations(whether very fast of with efforts) etc. and consult a doctor immediately if present.
If you have any more doubts, do write back.