Seagate Barracuda 3GB no longer being properly recognised, and beeping

Thanks! I tried the Seagate Recovery Services program, that told be my drive was not supported.

On to the tests:

Short Drive Self Test passed

Fix All Fast failed

Unfortunately, your Seagate product has failed an important diagnostic test, possibly caused by problem sectors which are difficult to read. Now is a good time to make sure that you have a current backup of your important data. If you have not done so already, please consider running the Long Generic test on your external drive. This test has the ability to repair problem sectors that are difficult to read. For more information on this subject, see the Help file topic "Bad Sector Found".

--------------- SeaTools for Windows v1.4.0.4 ---------------
17/03/2017 20:04:06
Model: Expansion Desk
Serial: 2HC015KJ
Firmware: 070B
Short DST - Started 17/03/2017 20:04:06
Short DST - Pass 17/03/2017 20:04:14
Fix All Fast - Started 17/03/2017 20:05:27
Fix All Fast - FAIL 17/03/2017 20:05:35
SeaTools Test Code: 9CD398CD
Fix All Fast - Started 17/03/2017 20:06:47
Fix All Fast - FAIL 17/03/2017 20:06:55
SeaTools Test Code: 9CD398CD

I'll run the Long Generic and see how that goes...

Long Generic failed as well, same error message...