((((((((((((((PT))))))))))))))))))

I don't have any siblings so don't know what that relationship is like. But if I imagine I had a close friend with the same mental health issues that I have, and this friend was trying to fix me by doing "exercises" like the one you describe here, that would really piss me off. Unless I had specifically asked this friend to help me in this way.
Can you just tell your sis that you appreciate she's trying to help, but what she's doing isn't actually helping (or maybe a bit more diplomatically than that!!) I forget, are you in therapy? Then you could say you'd prefer to work with your therapist on this?
I'm not sure how to prove to people that you're "different now", other than by being living proof. If that makes sense. In other words, through your actions. Walking the Talk, or whatever that phrase is. But even then, you're still allowed to screw up sometimes!!!! EVERYONE DOES!! Even people with no history of mental illness. Everyone makes mistakes and does things that, in retrospect, they wish they hadn't. I guess I'm just saying that because I'm wanting to make the point that, even though you're working on the interpersonal stuff, you still don't have to be perfect. And no one has a right to expect you to be perfect!
(((((((((((((((PT))))))))))))))))))) I really hope your hubby and your sis can give you the support you deserve!! And I really hope things work out job-wise