> A young black American soldier leaves his home and family to cross the
> ocean to put an end to the German nightmare.


Using **home** and **family** in this sentence adds extra weight to the soldier's sacrifice/decision.  It is stating he is leaving both a place he is familiar with (his home) as well as the people he cares about/people who care about him (his family).  It highlights that he is uprooting himself both physically as well as socially.

In regards **home** vs **family**:

Home and family can have emotional connotations:

> **Home** = A place that you live / have lived (probably long-term) that you have an emotional connection to.
>
> **Family** = (Mostly) permanent group of people (usually blood-related or by marriage) with whom you have a emotional connection.

**Home** can mean simply the place that you live.  It can also mean a special place that you live/ have lived.  Many people feel at home, regardless of the actual location, when they are with their family.  Thus, they may consider, their 'true' home, their family.

For example, a person who moves to a different city for a new job would live permanently in that new city.  The house in that city that they live in would be their new 'home'.  However, if that person felt a strong tie to their parent's house, for example, they may still consider their parent's house their 'home' despite no longer actually living there.

Less emotionally-charged phrasing for 'home' could be: 'his residence/house/apartment' and as an alternative for family: 'his relatives'.