Yes to all except the Irish Moss, which is a "maybe". The people I have heard talking about is haven't had good luck with it, but I never heard why.
In zone 4 or 5, you might consider getting a jump start with the Violas and Primulas and sowing them inside. You would get 2 more months of bloom on the violas if you did this. Or does it stay cool in the summer where you are?