Hi,
Moving the VR appliance with vMotion / svMotion within the same vCenter Server inventory should be fine.
Please file an SR and upload VR support bundle, so that we can troubleshoot the permissions issue.
VRM server is an extension to vCenter Server. If the host running the VRM server is removed from the vCenter Server inventory and added to another vCenter Server - the OVF environment is lost, also vCenter managed object id values for datastores, VMs, hosts and other are changed. Basically a new vCenter Server requires new VR appliance deployment + replication configuration. The already replicated disks can be used as initial copies, however, the configuration for each replication needs to be repeated.
Regards,
Martin