Self settling is a bit of a controversial issue. In my own opinion I agree with the psychologists and practitioners who say that content and secure children come from relationships with caregivers where they were learnt what feeling settled and soothed felt like by being settled and soothed by that caregiver. This is something that takes a different amount of time for all children but I wouldn't expect any baby to be able to do it at 1 month.
In that respect a pacifier might soothe her because it is made to resemble and replace your presence as a Mum, however a pacifier doesn't provide what you can. In a newborn, being held regulates breathing and temperature (they are quite bad at doing these things for themselves when newly born!) and offers food whenever needed (which is frequently).
Sucking on a pacifier could fool you LO in to thinking she had a feed when she didn't which can have three consequences - 1: more disrupted sleep as baby wakes more frequently due to hunger as should have been feeding rather than sucking -2: nipple preference where she refuses your breast thinking it is a foreign object and the dummy is the "safe" nipple - 3: slow in weight gain due to skipping feeds, and drop in supply due to same. Of course many people use them without any of these problems, you just need to be aware of them.
I know I felt quite desperate during the newborn stage and so I'm not going to say you should or shouldn't do something. As the parent you make he choices that you need to. What I would say is that this stage doesn't last forever, it isn't your life now, it does change, so don't feel like you have to make your baby sleep a certain way or act a certain way in order for it to not be like this forever. What you describe is normal baby behaviour and it changes quite independently of anything we as parents do or don't do.
It might be helpful to Google 'fourth trimester' which talks of new babies needs as being very much the same as when they were a foetus.