On the Great Lakes a police department SAR unit can go pick you up with a helicopter wherever you are. But Abby was as far from the nearest police department as Los Angeles is from New York. Australian Search and Rescue had to borrow an airliner from QANTAS just to have something with enough range to reach her, and any ship dispatched from Australia would have taken a week to get there. They sent the closest vessel they could contact, which was a French fishing ship. She'll probably stay aboard that ship until it reaches port.
So, no, SAR was not going to and did not pick her up.
How it's all going to get paid for really depends on the attitudes of those involved--the Australians have stated that they're footing the bill for their part of it, what the French will do Lord knows, but I suspect that they'll let it slide too since it didn't cost them much and they got a good story out of it.