Biological weapons are not at all as destructive as TV/movies make them out to be. Once they are recognized be active most modern societies can shut them down.
The primary drawback to biological weapons is that they are useless for immediate military effect. They are generally only effective at all if you can keep their delivery secret, and any major effects will take weeks to months to have any effect on a scale large enough to impact the battlefield.
Nukes and even chemical weapons, on the other hand, have an immediate military impact....
There is no way of combating virus post infection, and the onset period could be down to days, hell even hours is possible, though quite rare. And vaccines are not always available. Obviously a carrier to carrier infection would take far longer.
Also our healthcare system is just not up to the task of a mass outbreak of any kind. When I say "our", I mean around the globe. No nation is equipped to handle biological warfare.
There are two main vectors for delivering both biological and chemical weapons. Gas and liquid. Many chemical "gas" attacks aren't actual gas attacks, but aerosols.
A liquid vector is far easier to deal with than a gas vector, but they are also far easier to direct.
There is a difference between the two concerning gas vector. While virus and spores are so small that they can be carried by the wind, and do so in nature*, they are not naturally suspended in gas, and are therefore easier to defend against.
It can still be used as a pre-war outbreak weapon, causing chaos, panic and infrastructure breakdowns, or an asset denial weapon, contaminating food or water sources. Now that last part is again something you can combat, but it takes resources, and it only requires a very small effort for that to be required for all.
All this makes it an ideal terror weapon though, except if there are certain parts of the world you do not want to infect.
Biological weapons are nasty, if of limited value in direct combat.
*Virus really needs a liquid vector, because a virus is a very fragile thing