Hi mate there is a Luderick spot if you go around to the right from Cobblers Beach, it's quite low and goes underwater at higher tides. It's about 100m from the eastern point.
If you go as far as you can go towards the right, there's a large free standing rock you can climb onto between waves, which is a really good spot to spin lures for Tailor. You get a bit wet as there is a small gap to cross, but there are often good Tailor under the wash towards the east. The spot is called 'The Twins' (from the 2 larger rocks there) only available to get on until half tide in and is sometimes exposed to the swell- even from the south, as it hits the opposite side (Grotto Point) and surges back across.
Trevally, Leatherjacket, Bream, Luderick along there, plus Squid.
You can't go to the left from Cobblers due to it being HMAS Penguin naval waters.