The correct options are
C They are produced in response to pathogens entering our bodies.
D Antibodies can be produced in response to a vaccine.
Antibodies are proteins that are produced in our bodies when foreign microbes enter our bodies. They defend our bodies and fight off the invader.
So, in the form of the vaccine, we introduce weakened or dead microbes, in response to whom our bodies produces antibodies. Now, in the future, if the same microbe enters our body inactive form, our body will have antibodies already present to fight it off. These antibodies remain in our bodies forever and keep protecting us.