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my $ua = LWP::UserAgent->new;
my $uri = shift @ARGV;
...
my $headres = $ua->simple_request($headreq);   # <----
my $statuscode = $headres->code();        
print "Status 401 at $uri\n" if $statuscode == 401;

my $ua = LWP::UserAgent->new;
my $uri = shift @ARGV;
...
   my $final_uri = $headres->request()->uri();   # <----
   print "Status 401 at $final_uri\n" 
}