Epsilon Rose
The King of Unrest
If Bail Organa is in the Senate, it's as a new Senator with no connections or respect yet from his peers. Same for Garm.
As for the Green Jedi, they only operate within the Corellian System. It's part of why they're allowed to be independent from the main order.
Forging connections with new, up and coming, senators is not a bad idea, even if they're unlikely to be able to help with the immediate problem.