Both you and your dog have been vaccinated for rabies, and you mentioned nothing about a specific incident in which your dog may have been exposed to the virus. If your dog has or may have been exposed to the virus, you should take him to the vet. The vet will know how to best proceed from that point. But again, you have BOTH been vaccinated, so it sounds like you are very much overreacting.
You should, however, keep an eye on the wound, because you are at risk of developing an infection. Contrary to popular belief, a dog's mouth is not sanitary. While they may not carry the same types of bacteria as humans, cats, and other mammals, they still, nonetheless, carry bacteria. Dog bites can cause some pretty nasty infections, in fact, dog bites are HIGHLY prone to infection. Keep the wound clean. If there is redness, swelling, fever, or any other sign of infection, go to see your doctor. If you are concerned about rabies, again, speak to your doctor, but since both you and your dog have been vaccinated, it isn't likely they are going to recommend re-vaccinating you. Others have already mentioned this, but I will reiterate. You should not let your dog lick you in the face. Again, dogs have some pretty nasty bacteria in their mouths. They lick their behinds, genitals, and some dogs eat vomit, eat poop, drink out of toilets, etc. You do not want all the bacteria they carry in your face.
The bigger issue is the fact your dog is biting you. You very much need to retrain your dog, and perhaps you should invest in professional help. Any dog who bites his owner does not respect his owner, and a dog who does not even respect his owner/handler is a potentially dangerous dog. Unless there are extenuating circumstances leading up to the bite such as the dog being in pain, in extreme fear at the particular time in which you were bitten, etc., you have a serious problem, and it needs to be corrected immediately.