Australia isn't in the JAA; therefore, in order for a JAA school in Australia to have JAA status, it will have to be affiliated with a JAA country's regime; probably the UK.
However, SPain is in the JAA and it's schools will be under the regulations of the JAA via the Spanish CAA.
Therefore, although you must check, the Australian JAA school will have a partnership with a UK ATPL ground school.
You cannot do a JAA IR anywhere other than JAA airpsace. If you do a non-JAA IR, you must convert it.
Cheers
Whirls