Katsunflw - at this age, your A time is very minimal, you don't want to over stimulate your lo. So your A time would consist of a nappy change or clothes change, a quick cuddle with mummy or daddy, then swaddle and get ready to settle for sleep.
If your lo is waking at 4:30 /5:00ish, I would treat this as a night feed, feed her in a dark room, keep any interation to a minimal and put her straight back to sleep. She may then sleep for another 3 hours and give you a little more sleep, and you can start your day a bit later.
Mungsprout, Starting your day at 8 is fine as long as you are consistant. If it works for you and your lo then it is fine.