Some additional suggestions...
MobaXterm includes an SFTP panel which allows you to drag-drop files from
a Windows PC, when connected to Raspian with SSH.
This is extremely convenient and I use it often to transfer files
to/from the Pi-2 of my PiDP-11. This can be used to backup the entire
RSTS system as others have described.
Raspian Desktop and VNC - If you have the Raspian graphical desktop enabled
you can then easily work with Flash or other USB storage media
attached to the Pi with the graphical File Manager. This makes working
with the Pi much easier for those not yet comfortable with the Linux command-line.
Add VNC and you can access the graphical interface from any remote system you choose
to use. I've found this very convenient.
Classic/retro backup tools - for a more authentic experience, lookup the information
on how a backup would have been done back in the day. This would involve mounting
a simulated tape with SimH, possibly some tape initialization steps in RSTS,
then running the RSTS backup tool. This tape can then be used to restore the
user files on a new or recovered RSTS system.
I can't give you specifics for RSTS; I run RSX-11, which uses BRU (Backup Restore Utility)
for this.
As I have multiple instances of SimH running on the PiDP-11 and other systems.
I've found it useful to use this technique (use of simulated, removable, media) to
move user project files and data between simulated systems.
There was a suggestion that your SD card might be nearing end of life. It is hard to
tell. SD card failures are not always obvious. The one SD card that failed for me exhibits
no issues at all, not until you shutdown then restart the Pi. When the Pi comes up
I find that the entire Linux file system reverted to the previous power-up state.
Any files that had been added are gone, any files deleted have reappeared, and any
changes to files are undone.
- ng