I'm unsure as to why you can't a register a device on the TVGo app. Are you signing in with your My Virgin Media user anme and password? Or are you signing in with your Virgin Media O2 ID?
Have you set up your linked Virgin Media O2 ID yet which should be used to access My Virgin Media and all VM apps going forward?
See /help/linked-virgin-media-o2-id and virginmediao2.help
The TV360 and Stream boxes have what are termed Profiles. (It's like a fancy name for personalised channel lists or favourites)
The default profile is named as a Shared Profile - that basically means it displays all channels in the EPG.
You could set up a profile for yourself containing all your favourite channels, and another one for you partner with their favourite channels, you could also set up another profile containing say only Sports channels, or one containing Movie channels. Each can be given their own Profile name
The following linked page describes profiles and how to set them up
/tech-and-connectivity/set-up-profile-virgin-tv-360
Did you get the additional (multiroom) set top box that you were asking about <here>?
It's possible that yours are showing as TV1 and TV2 or something similar. You can actually remame the boxes to something more meaningful. I have two TV360 boxes and one Stream Box. I've renamed mine as Living Room, Main Bedroom and Stream box to help me identify them apart.
One your VM box go to Settings> System > Rename Boxes, highlight a box and then type in the name you want to change it to and then highlight the Go button on the TV screen and Press OK on your VM remote and that will change the name of the box.