Kristina, I would not remove the items you mentioned from the bio – birth date and place, parents names, spouse name. In the event something happens to disconnect this profile from parents or spouse, then no one would know who they belong to.
Also if you are adding sources for birth date, parents, spouse, marriage, etc., it is helpful to have that information in the bio so the source can be linked to it. For example if you are adding marriage source, you should really have a statement in the bio that says X married Y on such date and at this place to link the source to.