foreach(readdir $dh) {
    if (-f){$filenum++}
    elsif (-l){$linknum++}
    elsif (-d){$dirnum++}
    }
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You are not going to get an accurate total because you are counting soft links in both $filenum and $linknum.    That would be better as:

foreach ( readdir $dh ) {
    lstat;
    if    ( -f _ ) { $filenum++ }
    elsif ( -l _ ) { $linknum++ }
    elsif ( -d _ ) { $dirnum++ }
    }
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