I don't blame him for wanting to know. When we get dumped we feel like a complete failure and we always want to fix what went wrong with us. You are taking this awfully well for somebody that just got the floor pulled out from under him. Dare I say you are being a doormat? Letting her say we should be friends, going along with it, letting her pull no contact and breaking it, keeping you constantly wondering? It's not right, it's not what friends do, and you don't need that. I'm guessing that she was trying to be nice by keeping you around as a friend, and she's getting sick of it because when she dumped you, she wanted rid of you, and you are still around. Hence the no contact spurts.
Is her "friendship" that important to you? It just sounds like you are going with the flow. What's your opinion of this? What do you want?
Waking up next to a beautiful girl,
Step outside and say hello to my beautiful world.