What can you do if your perceived and portrayed in a way that is false and defames your character?

There's a great book called "I Hate You, Don't Leave Me" which migh offer you some support and comfort since you've had that diagnosis. You might also look for a therapist that is well trained in Borderline Personalities and their traits. DBT is a great treatment format for the Borderline client and there are great successes in using it! Labels feel lousey, and its easy to get caught up in the idea that we "are" what we are labeled. But the truth is that human beings are complex and have multiple layers of truths. Your behaviors in the world have earned you the label of "Borderline", but "who" you are is not a title or label....Good luck!