I agree that a public television channel may be a good idea, and I agree that BBC produces great content, just as our DR does. I also see that your license is ~145£ while ours is ~265£ - not that that makes the argumentative difference though.
My problem is that everybody pays exactly the same, the poor, the students, just as the rich. Everything else in our society is based on a progressive tax, just as most "extras" besides your tax is completely optional. The license on the other hand, that's a flat "tax" that everybody has to pay. With the current rules, very few can honestly say they don't need to pay it. As such - let us pay it over the tax and I'd be fine with it.