Transferring the infection from your mouth to your genital would be extremely unlikely. I think you should take that off your worry list but it would be good to know what is causing the mouth sores. You may need to see an oral surgeon to have a biopsy done of the lesions. It is good to know that the swab tests are negative for HSV 1 but if it will help to reassure you, you could do more swab testing. The fact that you see no improvement on Valtrex also suggests that these mouth lesions are not due to HSV
Terri