Rabies query. Saliva of rabid dog?

My dog had licked saliva of a rabid dog. My dog doesn't have rabies he is vaccinated but I want to know that how long can rabbies virus live inside his mouth?? Because after an hour he licked my pre existing non bite wound that was bleeding and was deep and fresh. After an hour I got cut from an object that was licked by my dog and the cut is really deep bleeding big. Also after 1 days I got a scratch from my dog which was bleeding also a lick on mouth which was having a wound. See my dog is not rabid he is healthy but since he licked saliva of a rabid animal so can that rabies virus be transmitted to me through these incidents from my non rabid dog mouth and hair coat as he licked saliva of rabid dog??? ( Note: 3 months 12 days ago (102 days )I had taken 3 arv vaccine on 0,4,8 days not 0,3,7 days as got delayed by 1 day)