People ARE but Population IS?

Is it correct?

1- My family IS small.  (yes)
2- The majority of the people around the world IS are kind.  (When majority or minority refers to a specific set of persons, use a plural verb).
3- People in Spain ARE kind. (yes)
4- A half of the population HAS brown hair. (yes... but... when using a collective noun, you can use either a singular or plural verb.  But it depends on whether you want to emphasize the single group (all of them HAVE brown hair) or its individual members (each one HAS brown hair).
5- The population IS from Malawi. (yes)

Thanks a million!!!!!! :D

People ARE but Population IS?

Is it  this correct?

1- My family IS small.
2- The majority of the people around the world IS    are kind.
3- People in Spain ARE kind.
4- A Half of the population HAS    have brown hair.
5- The population IS from   /// of  Malawi.

Thanks a million!!!!!! :D