... just a comment before soldering. Most magnet wire nowadays has heat-strippable insulation. It is not lacquer, but that is not important. It takes a bit of heat to get the insulation off, and given the low melting point of the plastic Fender used for their bobbins, you should unwind the wire from the posts so that it's just hanging in the air. Heat strip it with your soldering iron, and then, once stripped and tinned, put it back on the posts and as quickly and efficiently as possible, solder it on. If you have no experience with soldering or dealing with heat strippable magnet wire, practice on a separate piece of wire lest you destroy one of your bobbins.
It's also possible you did not buy heat-strippable wire, in which case, you must unwind the wire from the posts, and then remove the insulation by carefully scraping it off with an Xacto blade or abrade it off with very fine sandpaper. Once you do that, tin the ends of the wire, and then put it around the post and then solder it.
Good luck!