Extracting Data from a Broken Hard Drive
At this stage it is normally not a job for amateur to extract data from the drive.

If you highly value the data on the drive, I wouldn't recommend bringing it to a standard service shop, as they wouldn't have the means to do anything. I would hire a specialized data recovery company to recover the data.

If you have no such option, one of the cheapest and easiest ways to recover after such a problem is to replace the electronics on the drive. Buy a 100% identical hard drive (new or used), replace the PCB on the old drive with the PCB from the new drive. If this works, copy over your data straight away to a backup drive.

Note: This only fixes some types of disk errors. If for example the drive heads or platters themselves are damaged, replacing the PCB won't help. But it also means that you have to have very special tools and facilities to be able to read data from the drive.