Sorry to be difficult.. Thats the model of the wireless card installed on the machine~ not the machine itself..
But, in lieu of the specific identifier we should be able to work with what we have.
Its definitely a Imac core 2 duo, either early or mid 2008.
You could have a dead pram battery.. Its been long enough it probably needs to be replaced and can cause strange issues like this.
But it could also be other things as well
Lets try a smu reset.. Unplug the imac from power completely, now hold down the power button while plugging it in.. Wait for it to try to turn on.. It should error.
Then unplug it from power, wait one minute..
Plug it in normally.. Then turn it on normally.
If that doesnt work.. Consider replacing the pram battery.. Its a little tough to get to but there are some great guides out there.. And the batteries themselves are pretty cheap. Heres the replacement procedure.
If you cant find one locally.. Heres a compatible battery. http://amzn.to/1SlyPMV
I dont want to go any farther because the symptoms you have are indicative of a pram battery failure.. But it could also be a smc /smu issue which is why I mentioned the power resets..
Since the pram battery is the most likely cause of this issue.. Id feel comfortable if we tried replacing that first ( should the smu / smc reset not work )
Other minor possibilities are the ram chips, or the actual logic board for the machine. But the pram battery is definitely the most likely and probably the root cause of the issues.
Especially since the computer was probably left off for a few days or weeks and with how old the battery already was ( 2008-2016 ) it was definitely past its expected life span.