Per Sefer Haminhagim, #1 applies to korbanos as well.
#4 has an interesting story behind it, it came about (from the dan l’kaf zechus perspective) as a way to preserve shalom.
#6 is slightly misleading. The Lubavitcher rebbe z’ya told people not to be so frum and think that they can have kavana without eating before davening shacharis at 10 am. I highly doubt he told balabatim who daven early to eat breakfast first, and most Lubavitchers who I know don’t on weekdays.