If you are not getting any lights at all now, check the AC adapter.
If you have a voltmeter, see if anything is showing up on the DC (hard drive) side of the cord.
If you dont have a meter, use the tongue trick. Lay the connector on your tongue, perpendicularly and see if you feel any tingling. Make sure your tongue touches the outer and the inner chamber of the barrel connector. If you dont feel anything, the adapter is bad. You should be able to find one on E-Bay. Make sure it is the same type of a supply. If you cant find the exact same adapter, look for one with higher current (AMP) rating than the old one, not lower. Voltage has to be the same, a 0.x variation is not the end of the world.
Alternatively you can just rip the sucker apart and take out the internal drive. Buy a $10 enclosure and use it in there.
If the power supply is ok, and you feel tingling on your tongue, it's the controller board in the drive cage or the drive itself.
Take the drive apart, and try to plug it into your machine internally. If the drive works, then it's the controller in the cage. If the drive does not work, then you are out of options and need a new one. If that is the case, and you need your data, there are companies that can recover for a nominal fee of around $1000 on average.
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