Re: Strat pup repair
Almost anything will do, you just need something to bridge the gap, to mechanically get copper between the coil and the tag point. It could be a bit of bare 24AWG cut from a Cat5 cable, for example. Whatever you can find really. It is a fiddly soldering job. I wouldn't recommend it if it's your first soldering experience, but if you're reasonable, should be achievable.
The epoxy you can buy from supermarket, hardware store, $2 shop, lots of places. Mix it on something disposable, then carefully apply it over the lead-in wire with whatever you've got, a toothpick, a matchstick, doesn't really matter. It's quite thick and goopy (if it's not a hot day) so it just builds up slightly over the wire, then sets hard (24 hours at least), and the wire is protected.
I also think it's a really bad design, and used to wonder why they did it like that, but have since stopping thinking about it. I broke the lead-in wire to a telecaster pickup (my first ever after-market pickup) in 1987, and repaired it like this.