Hi...Thank you for consulting in Health Care magic. Without fever and once throwing up doesn't mean its bacterial infection of the throat. But i would answer your questions further -
1. You can get her tested for
sore throat with a rapid antigen test if she gets a very
high fever and if her throat is fiery red and tonsils are enlarged.
2.It is possible to know the results of the rapid antigen test for
streptococcal infection within 10minutes.
Cough and cold are viral 95% of the times in children. For cold you can use anti-allergics like
cetirizine and for nose block, saline nasal decongestants will do.
Paracetamol can be given in the dose of 15mg/kg/dose every 4-6th hourly.
Hope my answer was helpful for you. I am happy to help any time. Further clarifications and consultations on Health care magic are welcome. If you do not have any clarifications, you can close the discussion and rate the answer. Wish your kid good health.
Dr. Sumanth MBBS., DCH., DNB (Paed).,