Both stations in Banki are controlled by Banki Gold Gang. If you do missions for them you will lose rep with Banki Gold Advanced Partners and gain it with the gang... Logic.
Just don't accept any missions. Do only combat bonds and you will be fine rep wise.
When you take a mission no matter who controls the station, it tells you on the right side which faction is offering that mission.
This is confirmed by the fact that the influence for said faction is blue and has an up arrow when you turn it in.
The only problem is that in this case the arrow is blue and pointing up when turning them in, and the missions are clearly marked as federation faction missions (gold advanced partners) , but yet your actual reputation goes from neutral to hostile as you turn them in.
It only took a handful of these missions to get from neutral to hostile so it's now impossible for me to do community event here.
It's clearly a bug.
Anyway I ended up just doing assassination missions at that point and made several million credits that way... way more than I would have gotten doing community stuff. top player gets 1 million creds... and the conflict zone was screwing me out of a good half of my targets that I was killing by not giving me credit for the kill, even when I did most of the damage to the target, so the credit rate doing that was abysmal.