max is the attribute for the maximum range of the unit, 35 for the 222 for example. so the unit cannot directly fire beyond the value. min is the exact opposite, so the minimum range, eg 3(I think) for the ostwind. the unit cannot fire below that value.
I however have no idea whether the max/min range effects far,mid and close range or not.
the accuracy modifier modifies said accuracy for far, mid and close ranges.
for example 15% for far, 25% for mid and 80% for close range.
hope that helps you a bit and by the way
to coh2.org!