Rich,

The answer to your question is of course a subjective opinion. You might want to include a refrain line of sorts to give the song some expectancy of continuity - if you want to avoid a chorus.

You can kind of think of a refrain line as a single-line chorus, but it fits more into the sound of the verses.

You already have a sort of refrain with the 'of the man he was before the war' in the first and last verses.