1. As we both have HSV1, is it possible that my cold sore would trigger an oral outbreak for them?
No, each of your immune systems will handle the virus in it’s own way
2. If I have an oral cold sore, does that mean I have a high viral load genitally as well?
Likely not, and I’m not sure what you mean by high viral load as it relates to HSV. Genital HSV 1 is far less active than oral HSV 1.
3. Is it possible to give someone genital HSV1 if they already have oral HSV1?