A truly annoying situation.
'Family' is a singular, collective noun. However, when talking about a family, the correct pronoun is 'they'. If you use the word family, the word follows the rules of 'it'.
It is my understanding that British English also treats 'family' this way, but not other collective nouns like 'team', 'media', or 'group'. I could be wrong about that, though. In American English, most of the time, all collective nouns are treated as singular for conjugation.
Even in American English, these rules are argued, though. Some news outlets write "media has" while others write "media have". Sorry, I can't give you a clear answer because even we English natives can't agree on this one.