Is it possible that someone did it remotely? I mean, taking over your PS4 from another device? Hackers can access computers remotely and turn them into "slave" machines (it's how most of the DDOS attacks are made), being able to operate from another place.
There's already a lot of buzz from hackers (mostly people trying to crack the PS4) about the system's vulnerabilities (there was a "piracy" scheme that used an exploit in the PS Store, for example. It was patched). Maybe someone took control of your system remotely, then made the transactions. Technically, it would have been made by your console, so it would explain this bizarre situation.

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