Innsbruck to Salzburg we are going through Worgl.
Right. That'll be on the fast trains with a pre-purchased Sparschein.
For Salzburg to Hallstatt, the OB app is giving train RJ 547 and R 70 from Salzburg Hbf to Hallstatt Bahnhof with 1 change at Attnang-Puchheim which is 2.5 hours.
This journey, the default option, uses the RJ (railjet) - it is NOT eligible for the "einfach-raus" ticket. But you CAN use the "einfach-raus" ticket if you wish - you would just need to substitute the long-distance RJ train with regional equipment (like the S train.)
Is this a Sat or Sun? If so... You would travel on the same tracks via Attnang-Puchheim. But instead of the RJ train at 8:11, you'd board the S2 train at 7:35 (followed by the R70 from A-P, arr Hallstatt 10:47, same train as you found with the default plan.) OR...
...you could leave on the S2 train at 8:34, followed by the R70 at 10:08, arr Hallstatt 11:24 (2 hrs. 50 min's.)
On weekdays... ...the e-r ticket is good only after 9 am. The 9:34 - 12:47 S train + R 70 combo would be your first option.
I have no idea about the composition of your family, which affects pricing, or what day of the week you are using, so I can't look at pricing of the RJ/Sparschein ticket to the e-r ticket. To compare the e-r option, just use that "e-r" button to modify the default search, then hit "search" again.
The e-r ticket is not tied to a specific journey - you would have flexibility to use it at a different time of day than originally planned, and of course the same e-r ticket is good for the return to Salzburg later the same day. And it does not require pre-purchase.
