Do male and female rabbits like to be together?

yes they can, cause they help take of their babies

Every rabbit should have it's own cage (space). In the wild rabbits compete for territory. There has to be enough space for everyone or fighting will start. Does do not take care of each other's babies unless you foster them to a doe and she doesn't realize they are not hers. She will kick improperly fostered babies out of the nest.