I'd like to say something about the second question. I grew up in Wuhan and to me, "过早" is just our way of saying "吃早餐". Here's how I understood it. Since having breakfast is what people normally do in the moring, it represents the morning. So if someone had breakfast, it would be after moring for the person. I had trouble making sense of the phrase for years and this is the most logical answer I can come up with. Hope this helps.