That kit looks pretty good, though I haven't used it. From my own experience, I would recommend a couple of optional upgrades to be thrown in. First, a brass wire type soldering iron cleaner. The sponge on stations like these is fine, but it's much easier to clean with the brass type mid-project. There are cheaper versions available, but my experience is all with the Hakko. Second, I've never had luck with those wire cutters. I've had much more luck with strippers that give separate holes for each gauge. Here's a cheap one and here's the Hakko pair I have.
Like I said, these are optional as the kit comes with basic solutions for both of these tools, but maybe something to think about for the future.
Soldering iron, solder (60/40, make sure it says rosin core), audio jack of choice (1/8", 1/4", mini xlr), wire (I recommend replacing the wires connecting driver to audio input. Working with the original wires was a massive headache for me. Any shielded copper wire works, pre-tinned makes it super easy to work with). You also need something to file down the hole where the wire was, either a file or dremel tool or even rough sandpaper. Try to find a jack that snaps in like this and covers the hole at the same time. I think that covers it
Though you only have 6 total points to solder, some things that will make it a lot easier are solder tinner (like this) and solder tip cleaner (like this).
velcro strap for battery! 300mm if you're wrapping around the entire quad
clear double-stick Gorilla Tape
also this soldering iron tip cleaner is freaking awesome
poster putty for soldering stuff, way better than helping hands