@records is just an ordered list. If you assigned to it directly, it would look something like:

my @records;
@records = qw( name ID email phone );
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That means the 0th element is 'name', and the 3rd element is 'phone'. In code terms:

print "$records[0]\t$records[3]\n";

produces name    phone. Does that help?

If you find accessing data by name instead of by index is easier, you can assign to a hash:

while (<DATA>) {
    chomp;
    my ($key, $value) = split;
    $value =~ tr/"//d;
    my %record;
    $record{$key} = $value;
    push @records, \%record;
}
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You can then loop through records, printing just the elements you want:

foreach my $rec (@records) {
    print "ID: $rec->{ID}\n";
    print "Name: $rec->{name}\n";
}
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Is that more clear?