Ok, so...
Completely formatted HDD with zeros, checked for bad sectors with chkdsk /f /r under windows, freshly formated under NTFS, then newly installed and updated Solus Budgie (after the repo's little incident) - still the same result&
"wrong fs type, bad option, bad superblock....".
ntfsfix is sayng:
sudo ntfsfix --no-action /dev/sda5
ounting volume... OK
Processing of $MFT and $MFTMirr completed successfully.
Checking the alternate boot sector... OK
NTFS volume version is 3.1.
NTFS partition /dev/sda5 was processed successfully.
dmesg is sayng:
sda5: It is recommened to use chkdsk.
ntfs3: sda5: volume is dirty and "force" flag is not set!
when manually mounting the partition:
sudo mount /dev/sda5 /mount/media
successful and with no complains.
What is interesting is that "ntfs3" is managing the file system not "ntfs-3g". As far as I can understand. Many people in other distros are complaining also from "ntfs3" corrupting their data and hard disks.