Hello MikeMike,
There is no problem for you having dental work and having local. The local will work, the treatment will not be impacted - take your dose as usual.
At 4 weeks into treatment there is an 80% (4:1) chance you are undetectable so non infectious. There should be universal precautions so your blood, even if still detected, should not cause any risk to staff of other patients.
Often patients who mention having Hep B, HIV or Hep C will be scheduled at the end of the day. This should not be necessary if correct procedures are followed.