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Given how the cards were on Ray's field, I think its safe to assume the four cards Leo holds in the OP are the same ones.

All these people questioning why an Academia student would be in the Xyz dimension.
Its almost like they invaded them at some point, and are probably still there to an extent.
Plus Selena and...

We saw the full dimension hopping interface on Sora's duel disk in an earlier episode.
So by seeing where Barret pressed, it does imply that he didn't teleport them to Academia.

I'm surprised no one has mentioned the part where the bracelet sent him flying into the ceiling.
Personally I think that was the highlight of the episode, and the only good thing that came out of...