If the program in the PLC has been protected using the OEM key, you will not be able to upload it from the PLC to the computer running Logicmaster.
If the program has a level 4 password set, you will be able to upload, backup, restore, whatever. If the PLC has a level 4 password, and you can only get to level 3, you have to stop the PLC to write changes to the program and you can't change the password.
You should contact the nearest GE Fanuc distributor and ask to talk to their Automation Specialist. Someone might be willing to pay you a visit and try to connect to one of those 200 PLCs to see exactly what you're up against. As someone mentioned in one of your other threads, the VersaPro installation CD includes Logicmaster software. Your distributor should still have VersaPro CDs even though VersaPro has been superseded by Proficy Machine Edition.
You said your boss won't authorize purchase of the tools you need to do your job. If he places no value on your time, you could try writing an SNP driver program from information in the manual GFK-0582 which can be found on the GE Fanuc website. The status word of an SNP slave response tells whether or not OEM protection is in force.