You want to make your friend feel welcome, considering the fact she has had her first communion, I think you should let her make her own decision. We don’t know the reasons why she left the church and it is more important for her to return and feel welcome vs going and feel alienated. As for covering her head, this is 2013, let her decide. 99% of women I know don’t cover their heads and it’s something that should never be imposed.
Furthermore, blessings are ways for non-catholics, catholics who have stopped practicing or for those who don’t feel worthy to accept communion. It is a way to unite in the grace that comes with communion. In this case, I wouldn’t push it. If she didn’t feel comfortable going up for communion, then it can be suggested.
Remember you want to welcome her home and hope she feels comfortable. The other elements such as going to confession can be discussed if she feels welcome and wants to return. Guide her as the spirit flows.