This might be a solution

for my $dir (glob "/strek/*/logs") {
    for my $i (0 .. 4) {
        print "$dir/rlog$i.sr.html either does not exist or is 0 bytes
+!\n"
            unless -s "$dir/rlog$i.sr.html";
    }    
}
[download]

I don't think glob can be used this way, (with an array to be globbed).

while (my $race = <@races>)

for my $race (@races)