I'm getting tips from my painter buddy-most icing can go over primer, as long as its not real big holes like Tiny said. I have primed, blocked, primed, blocked, primed-not just 4 coats then sand.
80 is a little harsh for final sanding, lighten up to 220 grit before priming. 80 grit will wipe off icing. For final blocking use 360-400.