Depending on when the wolf was made it could be lacquer coated or polymer coated. The polymer is the newer way of producing it. There is a good bit of lacquer coated out there for cheap if you find it, but some guns really have issues with it. Most of my knowledge and experience with wolf are with my AR15. I only use it in my AR as plinking ammo, I have had no problems with jamming or not feeding and I can't beat the price for that purpose. My handi is primarily a varmint rifle and the wolf does not fit the bill in fmj, I have never tried the jhp because the accuracy just isn't there. I did not have a problem with the extractor in my handi, but it is very dirty ammo and the accuracy was terrible. It may work for a fowling shot or two after cleaning the barrel, but that is about it. I would stay away from it for a handi, but for blasting and raisning a little hell It will do just fine.
I would go with UMC for the brass if you are a re-loader, but that stuff was pretty terrible in my handi as well. I have a good bit of that brass from my AR that I started saving when I got my handi, but the factory loads I tried stunk. I may have different needs than some, but I want to hit what I aim at every time.