Hi Miguel,
for point 1 I would say the easiest way is to deploy a VM, install updates and required software and then run sysprep to shutdown. Then you can export/import the VM as many times you want. Also, just for test purposes, the sysprep might not be really required, if you dont mind having the same SID in the VM. This could be an issue if you would play with WSUS or similar things that are based on SID.
For the other point, I would recommend to install RSAT on your normal PC that you use for work. Its a waste of resources to deploy separate VM just for management. You can easily manage the systems from your PC. Check my post on how to connect to Hyper-V server.
If you need further help let me know.
Cheers