It is normal to have spotting after a pap smear. I don't think it's normal to have bllod clots though. I doubt it's a miscarrige. You went to the doctor because of bleeding during sex, which usually indicates some sort of infection.
I recently too , had a pap smear because of my cervix, i did bleed(spotting) for at least 6 days after. I'm waiting for the results but by the look of it the doctor thinks that I have an infection to my cervix. I suggest that if you bleed alot you should go back to the doctor or wait until you get the results then talk about it and he can tell you what to do, or what is the cause.