NCAT is the NSW Civil Adminstration Tribunal and they are the “court” for strata. In most cases, like this, you would go to Fair Trading for meditation first, then go to NCAT for orders.
And no, you may not name the removalists in this forum. We work on the basis of anonymity and that goes across the board.
I suggest you spend a bit of time looking at previous posts – do a few searches – and you’ll get an idea of what we’re about.
And I don’t know why you are even suggesting that you pay half. Between them, the OC and the removalists should be insured. It’s not like you went and damaged the lift yourself.