Being better at arguing your point than her doesn't mean that she doesn't have a point. Surely, you've been is situations where you've been unable to fully articulate your point of view as well?
Should you be shutting down all her points or should you be attempting to see from her point of view? I think this is more of a question about your relationship as opposed to what the facts are about what you think feminism is as a whole.
And besides, you can only refute so much before it becomes opinion on both sides.
For what it's worth, I'm a guy. Also, a feminist for the most part. I find that extreme views are much much easier to find online than the more rational ones and the minority of crazy people have the habit of talking louder than the more sensible ones... This is a shame, but it's the same regardless of the issue, sexism/ racism/ religion IMHO.
EDIT: Oh and the answer is 4. Don't think just because you're in a relationship means you have to impose your opinion on her. Because you don't and you shouldn't. But, and perhaps more importantly, you don't have to agree on everything to be happy.