I think that the issue with the red edges to the white segments is bleed. Either capillary action along the joins or down the joins. Three possible solutions:
After placing the white area masks put a thin skim of white down to seal the edges and joins (may result in white edges to the red though)
Make sure that you do not put a wet coat on (in this case the red)
Mask the joins where the add in masks mate with the base mask (tape or masking liguid)