1. Common mechanical problems ? none
probably the only thing to look out for is the crank, if, when the car is on, you can see the crank pully wobbling, the engine needs to be pulled. Otherwise, nothing happens to these things.
2. Large variety is an understatement, these are probably the most used race car in the world. Everything under the sun has been done, and there are a lot of manufactures that make aftermarket products, some for racing, some for looking cool. (drifting)
3. Both engines are great for turbo, which, btw, miata motors love boost. They are low compression to begin with, and can handle up to about 190whp on a completely stock motor.
4. perfect condition miata, with R package ? around 4k
5. I am 6'3 and 170, I fit fine

6. Planning to drift ?
Pro's - light weight, extremely reliable, cheap.
Con's - low steering angle, small wheel base makes it not beginner friendly
If you get a 1.6 model, they have diffs that must be upgraded to the 1.8 rear end to make any use of it before breaking, the 1.6 rear end is weak.