It looks like you are roughly right, but still, a sampling of 8 students from this population is not likely to come up that way (by my calculation 1.4x10^-7)
Its really not; hiring within a single firm, especially for related functions, will tend fo have correlated biases, rather than being a random sample from even the pool of qualified applicants, much less the broader population.
Not in California. Last I remember, something like a quarter of the state’s population is foreign born.