After any genital biopsy, there's going to be some effects on the urine such as dysuria (which you seem to be experiencing), which in this case should only be temporary.
I'm curious as to what your vulva was diagnosed with. Did the doctor diagnose you with anything like vulvitis, or vulvovaginitis? He should've diagnosed you with something or else a biopsy shouldn't have been needed. If he specifically diagnosed you with nothing, then there's no cause for worry.
Either way, I'm guessing it'll just take time to heal. If not, then appeal strongly to your doctor that your symptoms prove you to need more medical attention, even if he says you "should" be okay. But I'm pretty sure that time is the healer of these effects of this sort of biopsy.
You said you were told to take neosporin eh? I'm thinking that maybe Aloe Vera would be best. Just a suggestion. Get well!
Patrick