If you do end up needing to replace the switch, one of the 'easy' ways is to pull the transmission.
Unless you know the previous owner real well, and have a maintenance record, as a new owner you will want to check on the splines on the input shaft of the transmission. This is not such a critical maint. item on the mono-shock bikes as it was on earlier models, but it is still good baseline information to have.
The splines should be cleaned well, checked for wear, and if all is well,
lubricate the splines (on the shaft only, not on the mating splines on the clutch) and with your new neutral switch in place, put it back together!
You can also check on your tranny input seal at this time, and to a degree, check on the health of the rear main seal. If you own the bike long enough, you will need a new rear main seal at some point. It is behind the clutch/flywheel. Don't ever remove the flywheel without first blocking the crack to keep it from moving forward a fraction of a mm. Bad news. We'll get to that later.
Also behind the flywheel is the cover for the oil pump. On the older bikes, at least, ANY time you pulled the tranny, you pulled the flywheel also so you could check the four bolts on the oil pump cover.
I have never found mine to be loose, but this is a common source for an oil leak. It has a small o-ring that is replaced whenever you are there.
I am totally clueless when it comes to swingarm pivots on mono-shocks.
The reason I say this, is because on the older bikes, you have to drop the swingarm to remove the transmission. I wouldn't be surprised if the mono-shock bikes are the same.
Good luck with it! They are fun to work on.