From the description and the video I'm guessing they're just a really toxic couple who hate each other. The woman's angry at the guy, she's going somewhere, probably to do something crazy (I read she was drunk and he wanted to stop her, not sure if that's true, it's probable), so he stands behind the vehicle and tries to keep her there and calm her down even if he's doing it the wrong way.

I really don't know how people can find themselves so low. I don't think I could live that way.