Ok, first thought.
She is clearly setting you TOO MUCH to do. This is too much stuff in one go for the state you're in. It just is. Have you ever seen on the housekeeping threads where people recommend the Flylady programme (it's an American name, I've no idea what it signifies). It's for chaotic households, and she builds up your tasks every day, and the first one, the one you do for (I think) a whole week, is keep your sink clean. That's all. Just the sink. Not the sink AND the bathroom AND hoovering the sitting room every day, because who wants to suddenly form habits in all those things at once? It's biting off too much.
If she isn't responding to your distress by reducing the amount of stuff to something you have a hope of actually achieving then she isn't being helpful.
Second thought, ONE of those things would potentially be fine if (and it's a big if) you were actually on board with it, felt you could get on with it, and understood how to do it. She needs to work with you on it.
And the trouble is, items 2 and 3 actually conflict with things you value - you value being able to lie in, and you value being on the internet. Ok, I'm totally with her that eventually those things will probably dissipate as you learn to be more flexible and decisive about the pattern your day takes. But STARTING with these things is crazy. The whole point about the first habit-forming step is it needs to be easy. It needs to be a habit you can actually get slightly excited about achieving. It can't be something you don't bloody want to do, that's insane. I love that you didn't come off the computer because you didn't want to. That sounds just like me. However depressed I am, I never quite lose my stubbornness when people suggest damn fool ideas to me. It's a quality I cherish in myself for that reason. 
Is there an inviting habit of some kind, that you can think of?
On item 1: so the paper format clearly doesn't work for you - would the phone work for you? Does your note app allow you to, say, put in the headings of the columns she wants you to write under, so you're sort of doing it her way?
Just another more general thought, would it help if she wrote down the instructions for these tasks? Or emailed them to you? It would only take her two minutes. Weirdly I find I pay a lot more attention to bits of paper that have been written on by other people.