How many men do you know who are ballet dancers? Do you think that's because there's actually something present in the DNA of little girls that's not present in the DNA of little boys that makes them interested in ballet?
Or could it be because if you're a little girl who dances it's cute/pretty and if you're a boy it's because you're gay/weak?
This is the problem. If men hold a monopoly on powerful or lucrative roles in society, that monopoly will reign through the establishment of gender-dichotomous "interests and passions." Of course gender doesn't play any intrinsic role in whether you're into ballet. Nor does it play any intrinsic role in whether you're into computer science.
Yes, probably related to the production of testosterone or a similar mechanism.
It's hardly surprising in a sexually dimorphic species.
Of course there are biological differences that surface in all of these things. The question is whether these differences by themselves account for the disparities. Of course the answer is no.
Applying this to interests, however, implies that there is a neurological difference that makes women worse at computer science. There is not methodologically sound data to back this up.