Thank you for your query on Healthcare Magic.
Your child seems to have an viral like illness.
Some children 7 to 10 days after MMR injection , develop viral illness with fever
, rash , and features of upper respiratory illness like this.
Nothung to worry and just symptomatic treatment with medication for cold and cough
Oral anthistamines for runny nose and watery eyes and Tylenol
if there is fever are sufficient.
Consult your Pediatrician
for the medication and this illness will subside within one week.
Hope I have answered your query.