Moving & Renaming large Disk attached to new VM from the old VM ?

People,

I'm planning to migrate the file server from the below old Win2008R2 VM into 2012 R2 VM:

Old File Server VM - PRODFS01-VM:
Windows Server 2008 R2
C:\ - 40 GB
D:\ - 1.89 TB (VMFS - [NAS-D01] PRODFS01-VM/PRODFS01-VM.vmdk)
E:\ - 765 GB (VMFS - [NAS-D05F] PRODFS01-VM/PRODFS01-VM.vmdk)

New File Server VM - PRODFS05-VM:
Windows Server 2012 R2
C:\ - 40 GB
D:\ - 1.89 TB (Will be attached from [NAS-D01] PRODFS01-VM/PRODFS01-VM.vmdk)
E:\ - 765 GB (Will be attached from [NAS-D05F] PRODFS01-VM/PRODFS01-VM.vmdk)

My questions / concerns are:

1. How do I migrate (svMotion) the only the big VMDK from the old VM to the new VM safely ? Because when I'm deleting the old VM (PRODFS01-VM) which has been turned off, I don't want to delete the two disks that is now attached to the new VM (PRODFS05-VM).

2. Regarding renaming the VMDK, can I just rename it from the vSphere Console Data Store Browser after turning it off and then attaching it to the new VM ?

From:
D:\ - 1.89 TB (VMFS - [NAS-D01] PRODFS01-VM/PRODFS01-VM.vmdk)
E:\ - 765 GB (VMFS - [NAS-D05F] PRODFS01-VM/PRODFS01-VM.vmdk)

Into:
D:\ - 1.89 TB (VMFS - [NAS-D01] PRODFS05-VM/PRODFS05-VM.vmdk)
E:\ - 765 GB (VMFS - [NAS-D05F] PRODFS05-VM/PRODFS05-VM.vmdk)

What caveats do I need to know ?