If going to solder make sure to get some rosin to clean it too
And a good quality iron. You dont want to have an iron just hot enough to melt the solder but not hot enough to do the job, sitting on the switch too long. You'll end up melting other parts of the switch.
Re: Buy new switch or solder wire on current switch?
Was a thread on soldering. The OP started ,and was quickly debunked. Lots of good info tho.... or spike that bitch n order one. ;dunno I always try to fix first. Plus it's already broken.....so have at it...