Posting a clear pic of your rose would help out alot, so, people could see it and comment.

Just watch it and see what it does. Post a pic if you need advice on pruning it later. Best of luck!

At this point wait-and-see is the way to go, but I think in colder climates like OH, standard roses (the ones on a long stem with the branches all at the top, like a lollipop) need winter protection, like storage in a cold basement.

There was a vendor selling cold-hardy standards--'Polar Joy' was the name. Here's a thread about it:

Here is a link that might be useful: thread about Polar Joy hardy tree rose

Yes, unless it's Polar Joy, it's probably dead. For signs of life you need to see some buds or growth shoots on the top part. If you get growth from below ground, that would be the graft (which you don't want).

I have a tree rose that stays in a large pot so I can bring it into the garage for the winter, otherwise it wouldn't survive outside.