You absolutely need to tear the carbs down and inspect them. If the are clean (which I doubt with gray lines), you could get away with a thorough cleaning but I would still suggest full rebuilds including upgrading to Viton needles to resist the ethanol fuel.
The fuel selector is the knob you turn for fuel on/off/reserve. Those gooey gray lines clog them up and even though you can clean them the internal seals can leak air, causing a lean condition and blow the engine.
Your list looks great just check impeller and wear ring when you are changing pump oil. You'll want to replace the neoprene pump seal as well when you reassemble. Both of your skis have the 140mm pump.
As I mentioned earlier OSD parts is a great resource for most common wear items, I get all my carb rebuild kits there. If you need other OEM stuff this place is about 10-20% cheaper than any of the other online microfiches powersportsparts4less.com
I know all those maintenance can seem a bit overwhelming, especially with 2 skis but this will help to ensure you have years of trouble free fun with them. I don't ride any ski I buy without at minimum going 100% through the entire fuel system first. It's that important to the health of a 2 stroke.
Just make sure you get that compression test done as item #1. You don't want to be spending money on a ski if it needs a rebuild. If compression is low you'll have to decide if it's worth the expense of to rebuild.