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For such topics you may want to lurk on ServerFault [1] and SuperUser [2] to get more detailed information. If you gave an example of your intended end goal it might help answer the question as this could be interpreted as a DNS, cloud or web server question.

The title of your post should probably be something along the lines of "Ask HN: Subdomain limitations and capabilities?". If you click edit you can change it.

[1] - https://serverfault.com/

[2] - https://superuser.com/

Sure. The two addresses go to two different web servers. One is up and the other is down.

yes very possible, and very common.

you are asking for something akin to root/elevated privilege access. do you own, or control rope.example.com, or example.com ? because that would help access a lot.