No to anthias, and yes to clown goby.
Nano Fish
Any of those fish will work, as well as some from the main salt water area on that site. Just check minimum tank sizes and also the fish in question's full grown size before purchase.
Absolutely no tangs in a 35 gallon tank. They will eventually be stressed to the point of lowering their immune system and start failing. Ich, or some other disease will take them.