It looks like it got damaged in transit. The listing and seller look legit. The system is old so please try and be understanding. You got a good deal for it and even the case is rare. I would just keep it and buy another MB, IMHO! It would be worth it. Or you can send it off to Amiga Center in France to fix it. Well worth it. I know you are mad but this stuff happens especially for vintage computer gear. The 4000 is not very stable to begin with. I have had a few 4000's die out of the blue too. I now have like 5 as backups! LOL
I would disassemble it down to the bare MB and reconnect the floppy, PS, memory chips and daughter board and CPU card and see if you get a KS boot screen (purple insert disk screen) Give it about a minute for this screen to show up if there is no IDE device connected.