OK, here is the scoop. It was an NGINX configuration issue. Problem solved. BB works great. And FATS! Thanks all for your help. It was Matt Williams that solved it.
Here is the exact answer for others that may experience this:
in the vHost config, you have to make a change from:
try_files /wp-content/cache/supercache/$http_host/$cache_uri/index.html $uri $uri/ /index.php;
TO -
try_files /wp-content/cache/supercache/$http_host/$cache_uri/index.html $uri $uri/ /index.php?$query_string;
with the ( ?$query_string; ) at the end solved the issue :=)
I had to do that in the virtual.conf and vhost.conf to get it to work right.