Most of the stuff on the net links it to messenger, are you logged onto messenger on you laptop or any of the other pc's at the same time as trying to get on aol?
The only other thing is to keep trying as sometimes their servers are being serviced and it can take them quite a few hours to get sorted. The other pc's might be linked to different servers to your laptop.
Sorry i couldn't be more help, i thought aol was crap and stopped using it about 10 years ago :(
Neil