Wow, it's been a while since i posted on here, lol. But this is a really interesting topic and I feel like giving my two cents...
Anyway, I'm guessing the Black Ink was supposed to represent sadness/depression, etc. etc. After her lover died, all of these emotions slowly covered her up, up until the point where it constricted her and made it almost impossible for her to see, much less even breathe. She tried to take it off too, in the later part of the PV, but failed and instead, makes a mess out of herself.
Grief has overcome her too much from her loss. So much, that she can't let go and move on anymore. Even if she tried to, it would still stay and haunt her, and there is nothing she really can do about it. This grief is slowly killing her in the way the oil is covering her up, but making it hard to see reality and to breathe freely.
I think the scene with her dogs was in fact her lover filming her. She does look back (lovingly) at the camera a few times....
The scene with her messed up room is pretty much self-explanatory. She's upset/frustrated about this loss. Maybe she tried to destroy everything that reminded her of her lover, thus resulting in injuring herself. This all comes back to the idea that, her emotions are eating her away, and she can't see what is the truth anymore. She's slowly becoming the reason for her own (emotional and mental) death.
Overall a very interesting PV
. Hehe, I thought the oil was pretty cool........