I asked Monika (the first Jedi) some questions and thought I'd share the info.
First of all, she has the same HAM as the rest of us. It appeared like she had more, at first, but she said she was buffed.
Second, here are the stats on her lightsaber, according to her:
HAM Costs: 5 / 5 / 5
Third, she is not TEFed unless she USES A SPECIAL, so she can walk around town freely otherwise. She was duelling people and could not be attacked because she was just using the default auto attack.
I logged the damage she was doing, and based on a quick scan of the combat spam she was hitting between 45-60 PVP per hit with the default attack, which corresponds with the current equation we already know (1.5 damage modifier, divided by 4 for PvP).