Possible to repair using windows 10 disc?

I have purchased a copy of Windows 10 Pro

You can clean install to a new drive and expect Windows to be activated with your existing Pro license. The above shouldn't be needed. If you bought it as a cheap key or flash drive, that is likely to be extremely dubious.

If you were thinking you wouldn't have an installation medium, these can be freely created. That creation is linked to from this tutorial:
Clean Install Windows 10

You just need a flash drive e.g.

Note that you need a working PC to create that of course.

Posts above refer to using Macrium reflect for disk imaging. Please note that you cannot successfully image (in normal user terms) a failing disk. Disk imaging is meant to be something you do to help you recover from a failing disk by restoring your previously imaged partitions or O/S to a new drive, for example.

This is why tenforums members so so often advise people to use disk imaging routinely- had you been doing so you wouldn't now be struggling to recover files from a failing disk.

Note that there is free software such as Crystal Diskinfo which can continuously monitor your disks and alert you should their parameters deteriorate, giving you an early warning.

The routine use of disk imaging is also valuable as the very act of imaging verifies the used part of the partitions imaged, and would detect corruption based on a CRC error.

Please create the boot cd I mentioned and copy the files out.

If you re-install windows and then try to access that disk you are going to have to take ownership and that is more stress on an already damaged drive.

Of course, your machine, your call.