Hi Rtk87 - according to our best researchers, once you've had an HSV type (1 or 2) for longer than 4 months or so, you are highly unlikely to be re-infected by the same HSV type. Also, your HSV recurrences are triggered by internal, not external, factors. I do recommend that you and your new partner be tested, together, for everything, so that you're both aware of what you each bring to the relationship. Lots of bugs out there to catch besides HSV - knowledge is power!
No you cannot trigger an outbreak in her, that will be down to her immune system. It is not unusual for couples to have outbreaks at the same time as they will often have the same stresses and environmental situation.