You were right!
I think I forgot to restart "cron" after the various changes and especially after changing the system time to test the functioning of the script.
Thanks again.
Following (as a reminder and to help others) is a summary of what was done:
-logged via ssh (as you probably know)
-generated a script for shutdown (change "1:30" with the time you prefer):
cat > /etc/cron.daily/autoshutdown [RETURN]
#!/bin/sh [RETURN]
[RETURN]
shutdown -h 1:30 [RETURN]
[CTRL+C]
-set permissions:
chmod 755 /etc/cron.daily/autoshutdown
-restarted cron:
./etc/init.d/fcron restart