I wouldn't leave such a tiny baby to cry. Little babies only cry because they need something, and if that's love and cuddles from their mother, that's not a small thing. If you ignore her, you're teaching her that her needs are unimportant. She is too little to self settle. BUT I was very much an attachment parent when my DS was a baby (although I didn't know that was the term) and there will be lots of people on here with different views. What do you feel would work best for you and your DD?
Depends on the crying - dd2 used to whimper a bit to sleep - any proper crying I would go and cuddle or try a firm hand on her tummy when you lay her down to sleepy- they get scared and wake up a bit from being so sleepy as newborns at this age so you may need to do a bit of settling. Follow your instincts.
I think if you want there to be a bedtime that's fine! I had a bedtime for my ds at 6 weeks as it was my way of coping. I would bath/read book/feed/cuddle then down into the cot.I would go to him if he cried and wind/cuddle/feed until he went to sleep. I dont really like to admit it but started using a dummy too which settles his. He was being terribly sick as would fall asleep while at the breast at night.