She is very prone to infections due to the lymphoma
.She definitely needs a good antibiotic for at least a week.Since you have not mentioned her age,Icannot tell you the actual dose required.Moxclav or Augmentin
would be a good choice,along with a cough
syrup like Zyrcold.she needs nasal drops for 5 days followed by steam inhalation.she will be better,the ear discharge
and catarrhal cough wil resolve.