Sarin would be classed as chemical, not biological.
It's also worth illustrating that their primary terrorist act killed 15 people, after releasing sarin on 5 different trains during Tokyo's busy rush hour. You would have been more effective just lobbing a single grenade.
It is beneficial to the survival of a virus to infect the largest group that it can. A virus targeted to a small group of people has a large "survival benefit" the moment it can mutate to infect everybody.
In addition, it's really hard to target a biological entity at a specific subgroup of humans. From a biological standpoint, all humans are damn near identical.
Depends on the virus - something with the long incubating periods and frequent lack of symptoms like Covid yes, but something much more quick and deadly (say, Ebola, even though 2-21 days is still potentially slow) could result in quick mass deaths without the opportunity to spread it around.