family 可以有不同层次的理解，请看《韦氏高阶》词典对family的释义：

This sense of family can refer to a group that consists of parents and their children or it can refer to a bigger group of related people including grandparents, aunts, uncles, cousins, etc. It is often used specifically of a group of related people who live together in one house.

其是这个解释也不完整。在当今社会，人们普遍把宠物也看作家庭成员。你的这段文字像是一篇作文题目，要求写一篇日记。所以，你可以利用自己的想象力根据自己对family的理解来写。可以有多种理解的情形在作文中是很常见的。中国高考语文作文题目经常可以有不同层次的理解。