First time purchasing a brush less system, Does this look right?

So, I have a Tamiya TT-02 type S.

I plan to drift it as well as drive it with grip tires. so it's sort of a dual purpose basher.

I'm not trying to win or even enter races here, I just want to go faster than the motor that came with it.

I THINK I've settled on a good combo here, but I would LOVE some veteran opinions..

the question - Are these two going to work together?

https://hobbyking.com/en_us/trackstar-10...roved.html

https://hobbyking.com/en_us/hobbykingr-t...-1-12.html

And my second question, Do you know of something better at the same price point? my budget is a 100$ bill or less.