What causes worsening of the strep throat that leads to sharp pain in the ears and throat?

Hello doctor,

I went to the emergency room recently and they diagnosed me with strep and gave me Azithromycin (because I am allergic to penicillin). I have been taking it for three out of the five days, and it still has not gotten any better in fact, except for my fever breaking, it almost feels worse. I went to the emergency room again today, and they pretty much told me to finish the antibiotics and keep an eye on it. It burns my throat to eat anything, my ear also experiences a sharp pain when I swallow, and my tonsils are huge with white pus on them. Well, I got home from the ER today and shined a light in my mouth, and part of the pus just fell off. It was very rubbery and had a very small amount of blood in it. I coughed a few times and rinsed my mouth with mouthwash, and a larger pocket of pus came out of my throat when I coughed. Is that a good or normal sign, or is that harmful? Should I finish my antibiotics and see if it gets better or is this a sign that it will get worse?