Going for a Mad Max type with a sawed off shotgun and the dog. With the whole family/in the old world I was in the army dynamic the protagonist has going it just kind of works you feel? Someone who comes out 200 years later, who has lost everything, who just kind of snapped a little. Anyways what we have 21 points to work with now? Dang that's limiting. Ok here we go-
Tenatively:
S - 5 (Army background, rough individual in general)
P - 2 (Underground for a length of time)
E - 6 (He survived the apocalypse afterall, and Max is always running/surviving)
C - 1 (Loner, only thing in the world he trusts after the death of his family is Dogmeat)
I - 3 (No justification for this, he should be smarter just not enough points)
A - 2 (Pre-war injuries?)
L - 2 (His family is dead and his whole life is gone. Max as a character also generaly ends up worse off at the end of the movies except in Fury Road)