I was diagnosed with a bladder infection and given two rounds of antibiotics. I do feel better but still have small urgency to urine. Is this normal?

Talk with your doc. Glad you feel better but urgency should be gone. Since you are still having symptoms down there -- even twinges -- please talk with your doc. Simply checking your pee can tell you whether or not that pesky bladder infection is still there. Hope you are feeling even better soon!