Vger, the kit you listed will work but you will need a patch kit too. Like so
https://www.rei.com/product/113227/x...pair-patch-kit
I agree with the comments about a better pump. I personally use 20g C02 cartridges and an inflator head. Like this, but smaller
https://www.rei.com/product/141623/p...-38g-cartridge
You can shop around and save money. Be sure to practice with this stuff before the ride. Watch some videos and do it yourself about 3 times and you'll be able to fix flats with no stress on your rides.