Hello AH
If the wagon had E plates, the plates would have been fairly new in your pic of 68.
An FC wagon in NSW would have had plates starting with B when new.
Not that that changes things regarding your search.
I checked the my plates site, and EBO 180 is available, therefore it is not currently on a registered vehicle.
I also checked EBQ180 and it too was available.
As for EBO18?, there are only two options not available, EBO 183 and EBO188.
So those 2 plates are on currently registered vehicles.
Here's the link if you want to play further.
https://www.myplates.com.au/design_a_plate/index.htmlGood luck with your search.
I believe you can request that the RTA contact the last known owner on your behalf. (for a fee)
They will not give you that info though, you would just be lucky that the last owner of those plates contacts you and is still at the last address.
Regards
Alex