Then it seems the hex string is a 1024-bit digital signature of the license code.
Most likely the license type+the serial number.
If somebody can find the hash code in the ROM then it's easy to make a key generator.
The bad news would be if it's a 1024-bit signature of the license type+serial number+a secret salt value that's written to the flash memory at the same time as the serial number.
It would mean you need to get the salt value out and that might only be possible by opening it up and using JTAG.
Finger crossed that they didn't do that.
If this thing runs Linux then step (1) would be to get access to the file system and dump all the files. See if there's anything interesting in there.
Step (2) would be to dump all the files before/after installing an option and see what changes.