It’s definitly not recommended to transfer an already initialized ME- region from one computer to another without following this procedure first to clean initialization- data;
It’s highly unlikely that you lost ME capabilities when doing an upgrade. ME- updates don’t touch configuration data when done with Intels FWUpdLcl which Lenovo uses: Only code partitions in the ME get updated, configuration data isn’t touched.
And AMT depends on Chipset, NIC, CPU and internal grpahics.
The procedure to enable AMT is described otherwise several times for several ME versions here - I recommend to do some reading.