Dave's Flying School at The Oaks trains on Jabiru LSA 55. They also have a satellite training facility at Wollongong (Albion Park Rail) operating Friday and Saturdays only but that may be too far to travel. They also use an LSA 55.
The other problem with Wollongong is it can be very busy with everything from HARS Connie, charter jets, helos from Nowra doing the NDB approach, aircraft from Bankstown doing the published GPS approach on rway 16, locals doing crosswind circuits on all runways, plus microlights, to say nothing of visiting aircraft from Camden, Goulburn, Wedderburn, Jaspers Brush and travellers up and down the coast. Add a rescue helicopter service on call 24/7 and I think you'll agree this might be "too much in the mix" for an elderly gent returning to aviation.
The Oaks might be a good option though.