Hi..
Welcome to HEALTHCARE MAGIC..
I have gone through your query and can understand your concerns..
As per your complain it seems that you have a common cold lead to 
nasal congestion and cough can occur due to throat tickle caused due to 
post nasal drip..
As it is a Viral infection intake of antibiotics is not needed Antibiotics can treat only bacterial infection..
I would suggest you to take cough suppressant syrup containing 
Dextromethorphan, cough expectorant like Guaifenesin, anti allergics like Levocetrizine, warm saline gargles and steam inhalation..
Suck throat lozenges and sip in warm water..
Avoid spicy and chilled foods .
Take a soft bland diet and take sufficient rest..
For nasal congestion take decongestant nasal spray containing 
Xylometazoline and Oral decongestant like 
Phenylephrine and mucolytics like Ambroxol..
In case of no improvement in a week consult an Otolaryngologist and get evaluated.. 
Hope this information helps..
Thanks and regards.
Dr.Honey Nandwani Arora.