My powersupply seems to be ok (at least it still provides a 12V output) I tried to put a new internal battery To no avail.... I will have to buy a new airport station (this one is at least 10 years old. Not so bad)
Very easy to replace the battery by the new one even though I had the exact same “hiccup” than John Hallstrom with a broken eyelet and a piece of plastic remaining in place (on the same eyelet, the one under the battery label).
The operation didn’t take more than 15 minutes including removing the dust from the 2 fans and radiators.