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Out of despair I would recommend:
Try to connect your SSD internally.

Another possibility is to try and clone the SSD under Linux using ddrescue as described in the manual.
Afterwards you would run TestDisk against the clone. That would exclude any issue with the Samsung SSD.

I don't see any indications for errors in your smartmontools log file. What surprises me, though, is that your TestDisk log file is refering to a disk labeled "Sabrent" whereas the smartmontools log file shows a Samsung 850 EVO.

The cut off, it is because it stack at 99% and never finish. This is my guess here.
I used smartmontools as you suggested and follow those instruction, but in the log it show:

"Smartctl open device: /dev/sde [SAT] failed: \\.\PhysicalDrive4: Open failed, Error=5"

I used both command smartctl -a ...

When using Windows operating systems the log file is typically written into the folder with the TestDisk executable.
The log file you provided looks like being cut off.

Based on the information given, I have no answer for you.
Obviously you are using TestDisk for a reason.

Please provide a ...

Please post your log file.

I appreciate the help so far, it will take me a while to try this so I have a few questions before I start this process.

If I remember correctly I started TestDisk as:"testdisk" but then with sudo as prompted by TestDisk, I think it shows in the log. Do I need to run "su" first and then run ...

TestDisk cannot open the partition located at 1/0/1.
There is a least one issue with the location of the MFT as the location in the NTFS boot sector differs from the NTFS mirror.

What you could try out is to clone your disk using ddrescue as described in the manual.
Keep in mind that your disk has ...

Could you post your TestDisk log file?

TestDisk has not been designed to cope with broken devices containing unreadable sectors (see number of reallocated and pending sectors).
Clone your broken disk using ddrescue as described in a manual.
Clone your clone a second time, do not rely on being able to clone your defective device another ...

Quick answer: I don't know. This question cannot be answered.

You linked a lot of web locations instead of pictures. They are not show.
Please modify your posting and link the images files directly.