hello and welcome to HCM,
What were the previous two antibiotics given to your kid? When were they given?
An ear pain
in this age as your doctor opined could be due to the cold
or a respiratory tract
infection which could have spread to the ears.
Nevertheless, it is imperative that you consult your ENT so that an examination of the ear can be done. An antibiotic may not be required if there is no other signs of infection apart from the pain.
Also in spite of applying the drops you still have pain then stop the drops
Keep your child warm and do not clean or meddle ears. Also take only warm fluids
take care and get well soon
Dr Sriram Nathan