Jeni's lightsaber is blue. Primarily to differentiate from her uncle Luke's green lightsaber and the orange lightsaber used by the trilogy's ultimate antagonist.
Leia never uses a lightsaber, though she has substantial Force experience by this point in the series. Her Force-sensitivity manifests itself as telepathy, empathy, and meditation. She takes the "Professor X" approach to her powers.
As for the protagonist's name, I decided on Jeni (at least for the time being) because it sounded "normal", like Luke. Though I see where you are coming from, DuracellEnergizer. Again, like I said, it's open to change!
Admittedly I was being a little lazy with her name. "Jeni" was my name for Anakin's wife and the mother of twins back when I was attempting a prequel re-write.