Ok, look. I understand that your previous price-point might not have been ideal for you, that you were undercutting your own business with the smallest unlimited BD/DVD-rental plan being a $2 add-on to $10 streaming. I get that you were contemplating a price increase already.
But raising your BD/DVD-rental plans by 400% *and* splitting it off from your streaming plan so you can charge people for *both* just feels like a price jack. You say you want to accomodate the folks who want a DVD-only service, and that's fine. But you do realize that those people will be paying less now, right? Why would everyone else who doesn't want to change want to pay almost double overall so the first bunch can pay less?!
The very least you could do is offer a discounted bundle service. $8 for either plan individually, but $13 (heck $14, even) if you get both. It's not exactly unreasonable, and it's a still a higher price that what you were charging before. And now, there's an actual clear value for people who might be interested in both.