Best bet would be to back up the whole 120MB drive to a CD-R if you can hook a SCSI CD burner to your Amiga. MakeCD is some good free software.
If you are going to do that you must first lha the whole hard drive then burn the .lha file else everything gets wrecked.
I would make 1 .lha file for each partition of the hard drive. If there is only 1 big partition then I would make 1 big .lha file. Which would then get burned.
lha preserves file attributes.
CD-ROM discs ruin them by setting all files to READ-ONLY.
The next option would be to use a cable to connect your Amiga to a PC and use Amiga Explorer (google it) to copy the whole contents of the 120MB drive to the PC for backing up to CD / DVD / USB, etc.
He doesn't have to buy Amiga Explorer.
It is much faster and cheaper to use a PARnet cable and use the free software on the PC side that that guy wrote. He has threads going on multiple forums.