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How to mark/write zeroes only to the bad sectors, so they are NOT used/partitioned again?
The hard drive will hide bad sectors automatically. If you try to erase them, the hard drive will remove those sectors from the list of sectors pending relocation if the write is successful.
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How do I find out which sectors are bad?
Run a full surface scan. Error lines and bad sector numbers will appear at the bottom of the window. Wait for the scan to complete. The same window allows you to select the start and end sectors; they should be set within a few thousand relative to the bad sector number. Below that is a block size selection; select 1. Below that is a section with radio buttons for Ignore-Erase-Remap-Restore. Select "Erase" instead of "Ignore" and start the scan. You'll have to do this for each sector. And there are already at least 50 of them.
If you try to erase a sector, you'll be in for a surprise: Windows won't let you write anything to the hard drive while it has an active file system.
In general, this is a very bad idea, and you should only do this after the data has already been copied, otherwise you can erase data in other files in addition to the problematic one, which you will not know about after erasing, but will only find out when these files open in the corresponding programs with errors.
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If I delete the last 3 videos (including the 1 corrupted video) from my Portable 5TB HDD, do you think CrystalDiskInfo will say: "Health Status: Good", and the C5 Current Pending Sector Count will drop to 0?
Absolutely not. Deleting a file doesn't erase it, it simply creates a record in the file system indicating that the file no longer exists, should be forgotten, and the space it occupied can be used, nothing more. If deleting a file actually erased it, deleting it would take the same amount of time as writing the file.
But you can do what you want, but you'll need to fill the file with random data and then delete it, i.e., use a shredder. I can't recommend a good program for this; usually, this feature is available in antivirus programs under the name "secure file deletion." This trick worked perfectly on hard drives without SMR, which wrote data to the same place they read it from. SMR drives work differently; they try to write data to a location that can be written at high speed, so it's possible that a bad sector won't be overwritten.
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If I delete the last 3 videos from my Portable 5TB HDD, will that increase the chances for my backup to fail, or it won't make much difference?
The two videos that played without problems don't need to be deleted. You should only delete the one that froze and caused data errors. If the bad sectors are only located where this video was recorded, the backup will complete without errors.
I don't know what program you're using to back up your files, but you can use 7-zip to determine which other files, besides the video, are damaged due to bad sectors. Select all the files on your hard drive and run a checksum calculation. The bottom of the status window will list the files for which the checksum calculation failed due to read errors.
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The best thing you can do now is simply delete the damaged video and continue using the hard drive. If the bad sectors were caused by anything other than a hard drive failure, then as new data is written, the number of sectors pending relocation will drop to 0. If the hard drive is damaged, data errors will reappear after some time, or the hard drive will replace the bad sectors, as mentioned above. However, crystaldiskinfo will now constantly warn you about the number of sectors replaced, which you will no longer be able to fix.