Rights on the on-demand assets I bought

No, you do not own the full right on the assets, but you are free to use them worldwide in accordance with the licensing terms for the kind of license you took.

If it is the standard license you can do this worldwide:

Adobe Stock pricing and membership plan | Adobe Stock

Each standard image comes with a standard license. This allows you to use the licensed image perpetually with unlimited web views, but print runs or views of the image can't exceed 500,000 and you can't use the image on anything you're going to sell. You can find more information about license types, including extended licenses, right here

so:

1) total rights - no, limited rights but broad enough so yo can use them in print, on the web, on social media etc. You need to credit for editorial use.

2) Worldwide - yes

3) unlimited time - yes (says explicitly perpetual)

4) any support - some restrictions apply if you have a standard license.