Not sure I understand the last comment about using my %entry. I'm sure this may help in speed of script. So I would love some further clarification on that.

This refers to the for loop where you're pushing entries onto your @statement array. You're explicitely constructing a named hash, %entry, each time, but this isn't necessary; you can just as well do this:

for (@{ $data->{'mail-item'} }) {
    push @statements, {
        job            => $_->{'mail-jobnum'},
        product        => $_->{'mail-prodnum'},
        statement_data => $_->{'mail-statement-date'}
    };
}
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Or, since you only have one statement in your loop body now, you can even use for as a statement modifier:

push @statements, {
    job            => $_->{'mail-jobnum'},
    product        => $_->{'mail-prodnum'},
    statement_data => $_->{'mail-statement-date'}
} for (@{ $data->{'mail-item'} });
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Although I personally consider this less readable than the "regular" loop above.