Sore throat 24/7,feels like something is stuck?

You may have an infection such as strep. The coughing may have caused irritation and swelling in the throat which can make it feel like something is caught. Allergies can as well. There is also the possibility that there really IS something there - swelling, cyst, tag of tissue. After 2 months, I think self medication can be umed to be a failure. See a health care provider for evaluation. There is no reason to keep worrying and feeling miserable. Good Luck.