Reddit mentions of ZOSKAY 1X DS3218 Update servo 20KG Full Metal Gear Digital servo Baja servo Waterproof servo for Baja Cars(Control Angle 180)

Esc is universal in general as long as it takes a 540 size motor essentially for your purpose, something like the hobbywing 1060 brushed esc is pretty great for motors down too 12 turns i believe.
Hell if you have an old electric esc you might be able too reuse that if its not burnt up from something in the past.

As it has a built in lipo cutoff you can set via jumpers if you don't want too use an older type of battery like a nimh or nicd battery.

Servo is fairly standardized as long as it pulls less then the esc Bec circuit which most do unless you are looking at very high torque or very high speed brushless servo's

Something like a half-decent 15 kg & fairly quick regular cheap servo should do fine in the rc10 as its rwd & fairly light in the front hell you can go with a cheap 8 kg servo if you want too heh.

This one is pretty good on reviews it seems & has plenty of torque & speed even for larger models, order 2x of these imo, you might want another one for something else later or in case one of them turns up doa, which is a bit rare but happens.

https://www.amazon.com/ZOSKAY-DS3218-Digital-Waterproof-Control/dp/B01MU7TQV8/ref=lp_2234131011_1_6?s=toys-and-games&ie=UTF8&qid=1568730244&sr=1-6#customerReviews

When it comes too radios you wont need anything advanced really 2.4 ghz pistol grip radio with built in memory too remember other models & receivers like a flysky gt3b & perhaps 2 - 3 receivers extra for other rc's perhaps down the line & then just lower steering dualrate and throttle dualrate if needed & if the radio happens to have that
(Some cheaper radios don't have throttle dualrate but almost always has steering dualrate.)

I’d start with the tires. Crazy as it sounds. Are the hubs 12mm hex or some pin type. The pin type wheels are getting harder to find. If you can easily replace the tires, I’d would do so and replace all the electronics too. Add some fresh shock oil and you are set to have some fun.

Cheap Amazon electronics: $164 plus battery of choice
Servo: $18

Motor and ESC: $46

Transmitter and receiver (tx rc): $48

Charger (any battery type): $52

These electronics are a “welcome to the hobby” kit. The transmitter can be used with up to 10 models by buying additional rx for $10 each. The battery charger can charge any battery type and is the cheap industry standard. You would have to decide if you want to go nimh or lipo. Either could be had for $30-$40.
The brushless combo will bring that car to life while hopefully being mild enough to not grenade your driveline.