Welcome to Flyertalk and glad you have found us at the bmi board, mpnile ^

You're not the first, and certainly not the last, poster who's hit the blanket "no availability" brick wall when dealing with the call centre.

Award availability UK to SYD is lower than usual at the moment, due to SQ blacking out J and F awards on its newest aircraft, but there's still plenty there if you follow the advice in the FAQs. One more-or-less guaranteed route with J availability is Asiana via Seoul, and of course you can look at the Pacific route with NZ too.

PS, I like your Flyertalk handle : looks like the letters I would get in the Scrabble rack.