Hi Kate,
Welcome to the forum.
Has the car got any mods? and what repairs were done by the dealership?
200,000 Ks may seem a lot but if regularly serviced and maintained the engine will last a long time.
For the timing belt I had my 06 WRX done at STechnic with a new water pump and it was around $1400. So for $1500 including a service is a really good price.