I would do something like this:

use warnings;
use strict;
use DateTime;
use File::Find::Rule;

my $time_zone = DateTime::TimeZone->new(name => 'local');
my $a_year_ago = DateTime->now(time_zone => $time_zone)->subtract(year
+s => 1);

File::Find::Rule->file
    ->name(qr/\A\d{7}_\d-\d{7}-\d{2}_\d{10}\.para\z/)
    ->mtime('<' . $a_year_ago->epoch)
    ->exec(
        sub {
            ### Your logic.
        }
    )->in(qw(
        /paths
        /to
        /search
    ));
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