About this deal
Don't have a photo of that actual part but I'll happily get one tomorrow if you need it. Here's an example of the finish you can achieve with Easy Fill..... It's difficult to decide which way you should go as we can't see what you can. I have dry lined both our utility and kitchen and have (in the utility) cut out a section of plasterboard and refitted, filled with easy fill, sanded and painted you'd never know it was done. If the areas are widespread and could be coated easily then thinned undercoat, if they are so wide spread that you would be painting most of the wall then primer.
i did ring polycell and they suggested it was incompatible with other brands outside polycell/duluxReally needs to be oil undercoat as you're introducing a barrier to the filler to kill it's absorbency (although Zinzer Bullseye 123 is a 'wash your brushes in soapy water'. But I think the clues is in the soapy water bit).
I'd use Easy-Fill or Easy-Fill 45. You can get it really creamy and smooth, apply over the patches with a proper trowel just as you would with plaster. It's really easy to sand as it's soft, I'd take the worse off with say 120 grade and finish smooth with a 240 or 320 grade. Just work slowly and evenly. If done properly you won't see a thing.
Substance
If the areas are larger, then Zinzer bullseye 123 which will both stop the pulling and help bind the paint over the filler.