I like the sheet, I do have a few notes though, although one is a personal pointer, the other is a GM one.

On a personal note, I find the idea of a military figure putting their political career on hold because of a war a counter-intuitive one. Military leaders are most politically relevant when there's a war to fight! Feel free to keep that in, just something I'd note though.

The more serious note is on the idea of the Republic having a whole Battle Group assigned to unofficially support insurgents. Maintaining the Cold War is really quite important to those calling the shots in the Republic right now, I don't believe a military grouping of such scope would be given such unofficial orders. Your character might take it upon themselves to support insurgencies and may be a part of the building movement within the Republic to kick start the war, but you won't be getting such orders from Top Brass just yet.