post some pictures. If the pin is a press fit, you might just be able to tighten it back up easy enough with a punch and a hammer. putting an edge on scizzors is as easy as sharpening a kitchen knife or a lawnmower blade. you could do it, or I'd imagine a local hardware store would do it for you for 10 bucks or I think a chainsaw blade is 14 bucks, so - something like that. not mutch. I've never put an edge on a scizzor or garden cutting tool, clippers and the like, wire snips, don't think I've ever had to do it more than once time to any tool like that. Unless you are abusing it, and the old scizzors are probably higher quality than a cheap pair you would get today, will last and work forever. I have a few old family tools, one is a pair of I think quilting scizzors, outside of my getting some epoxy all over them when using them to cut edges of fiberglass matted with epoxy, they are still the best scizzors in the house, never sharpened them, never did anything, but cut with them.
I have some 40 year old hand maid little leather bullet holders, we made them as kids. I think the same pair of scizzors were used to cut the leather back in the day. Just to make my post about firearms.