Nope on the "anything more", other than something to undo the cover of course - it's a fairly simple, 5 minute job.
As to the poppet - how old is it? More than 5 years I would tend to go ahead and replace it.
You can argue the point either way for both the poppet and thermostat, but I look at it like this - if you drop 50 bucks every 5 years on "cooling system parts" (aside from the impeller which should be done every 2-3 years for the average motor) and you never overheat and fry your powerhead, it was probably "money well spent". A rebuild on a 3 cylinder can be done at home for about a grand or $2500 at the shop - hmmmm poppet is about 5 bucks, ditto the diaphram and it's under the same cover as the thermostat so you will already be in there...