Welcome.
With the ignition off do the wipers and turn signals work? They get switched power from the same part of the ignition switch as the radio.
If they go off, maybe the switched and constant power at the radio are reversed.
If they stay on, the ignition isn't switching properly. The key positions are accessory-off-on start. If the key is coming out in the accessory position the key cylinder might need replacing. I think dorman do a key cylinder that self keys to your ignition switch which simplifies replacement if needed.
The seat is so far from the bracket I'm wondering in the front brackets have been removed at some point and refitted backwards.