Dear Patient ,
yes there might be a high probability you are developing strep throat
since your family members were having it lately . symptoms relevant are sudden severe throat pain with minimum cold
symptoms like sneezing
and coughing , high fever
more than 38.5 C . i would advise you to see your family doctor who will take throat swaps and confirm the disease then will probably prescribe antibiotics for you .
thank you for posting your symptoms online , please rate the answer if you find it helpful .
best regards ,