the sings and symptoms you describe are classical for urinary tract
infections. Usually, the sensation of incomplete freeing of the bladder in seen in bladder infections or acute cystitis
. Other causes of cystitis could be parasites like shistosomes and bladder tumours but these are very unlikely in this case.
Believing you have a urinary tract infection, I suggest you visit your physician for proper antibiotherapy. He could decide to do a urine culture to help identify the particular implicated germ, urine analysis and anti biotic sensitivity tests. As you wait to see your physician, its advisable you drink lots and lots of water.
thanks as I hope this helps,