As long as the other side enjoys the interaction, I doubt there will be FR5s via 1.3. sanction. But the fun abruptly ends for me every time when I see e.g. a Junker that has Cardamine dock at Java after I told him not to. That's every time a FR5 because it is just wrong. And the LPI feels the same, when he catches a smuggler and he docks at Hattan.
If you rp, and if you give the player behind the police char a chance and a good roleplay scene, I would assume that everybody can deal with winning or losing. E.g. if you made it to Buffalo or another shady base, no one would FR5 you. It's just that "dock at my own IFF's base as a criminal" that makes people angry.
And no, Snak3. You cannot bribe back rep (in the sense of: you are not allowed). Technically, it is possible to "fix" it, but you can get sanctioned for it. Happened to a few special people in the past.