External drives have two components: 1) the hard drive itself and 2) the external controller.
You need to isolate which component is defective but that means taking the drive out of the external case and inserting it as a second internal drive into a system. If the external drive is still under warranty, this will VOID the warranty!
If you want to continue, remove the drive from the external case, install the drive into another system as a second drive then check if the system BIOS finds the drive. If it finds it you have a fighting chance to recover your files - in fact, the drive is likely 100% good. If the BIOS doesn't see it, the drive is likely to be toast (not usable).
If you have never set up drives in a computer, have an experienced person do this. If the drive is dead, you might recover the data but it will be expensive.
Regards,
GEWB