API key in self-hosted WordPress account?

I believe you just need to register an account at wordpress.com to get one.

Will that key work in our www.remarpro.com account also?

Will that key work in our www.remarpro.com account also?

yes.

with the same account info?

OK, so, I am a totally confirmed techno-idiot… I can live with that. BUT, it is not helping me figure out just where to find my API key. Where do I go once logged into my WP account to find it?

https://en.wordpress.com/api-keys/

When you sign up for a WordPress.com account we will email you an API key. If you already have a WordPress.com account, your API key is listed on your profile page, which you can get to by clicking the “My Account” link in the top left when you’re logged in.