All our monitoring kit belongs to us and is removed upon termination of contract, if you are SSAIB or NSI you can apply to have the URN transferred to your company subject to the fee
You do not need to speak to Paxton, just make a full backup export on the old PC, install the lite version on the new PC, import backup and away you go, just make sure the old pc is off the network when you fire up the new pc, you can download the doc of how to replace the pc which is in effect what you will be doing